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Finding the Third Proportional to 298,610,943.75 and 463,638,215.75

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Solution

The third proportional to 298,610,943.75 and 463,638,215.75 is: 719,867,773.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,610,943.75 : 463,638,215.75 = 463,638,215.75 : x
  2. Step 2: Convert to fraction form
    298,610,943.75/463,638,215.75 = 463,638,215.75/x
  3. Step 3: Cross multiply
    298,610,943.75x = 463,638,215.75 × 463,638,215.75
  4. Step 4: Simplify right side
    298,610,943.75x = 214,960,395,103,843,552
  5. Step 5: Solve for x
    x = 214,960,395,103,843,552/298,610,943.75
  6. Step 6: Final answer
    x = 719,867,773.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.