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Finding the Third Proportional to 94,294,395 and 141,792,508.50

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Solution

The third proportional to 94,294,395 and 141,792,508.50 is: 213,216,442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,294,395 : 141,792,508.50 = 141,792,508.50 : x
  2. Step 2: Convert to fraction form
    94,294,395/141,792,508.50 = 141,792,508.50/x
  3. Step 3: Cross multiply
    94,294,395x = 141,792,508.50 × 141,792,508.50
  4. Step 4: Simplify right side
    94,294,395x = 20,105,115,466,722,572
  5. Step 5: Solve for x
    x = 20,105,115,466,722,572/94,294,395
  6. Step 6: Final answer
    x = 213,216,442.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.