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Finding the Third Proportional to 224,292,566,297.25 and 482,603,241,971.25

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Solution

The third proportional to 224,292,566,297.25 and 482,603,241,971.25 is: 1,038,402,177,147.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,292,566,297.25 : 482,603,241,971.25 = 482,603,241,971.25 : x
  2. Step 2: Convert to fraction form
    224,292,566,297.25/482,603,241,971.25 = 482,603,241,971.25/x
  3. Step 3: Cross multiply
    224,292,566,297.25x = 482,603,241,971.25 × 482,603,241,971.25
  4. Step 4: Simplify right side
    224,292,566,297.25x = 232,905,889,161,160,882,651,136
  5. Step 5: Solve for x
    x = 232,905,889,161,160,882,651,136/224,292,566,297.25
  6. Step 6: Final answer
    x = 1,038,402,177,147.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.