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Finding the Third Proportional to 85,367,953 and 183,683,527

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Solution

The third proportional to 85,367,953 and 183,683,527 is: 395,226,040.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,367,953 : 183,683,527 = 183,683,527 : x
  2. Step 2: Convert to fraction form
    85,367,953/183,683,527 = 183,683,527/x
  3. Step 3: Cross multiply
    85,367,953x = 183,683,527 × 183,683,527
  4. Step 4: Simplify right side
    85,367,953x = 33,739,638,091,159,728
  5. Step 5: Solve for x
    x = 33,739,638,091,159,728/85,367,953
  6. Step 6: Final answer
    x = 395,226,040.98

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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.