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Finding the Third Proportional to 61,808,447.25 and 128,703,470.06

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Solution

The third proportional to 61,808,447.25 and 128,703,470.06 is: 267,998,695.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,808,447.25 : 128,703,470.06 = 128,703,470.06 : x
  2. Step 2: Convert to fraction form
    61,808,447.25/128,703,470.06 = 128,703,470.06/x
  3. Step 3: Cross multiply
    61,808,447.25x = 128,703,470.06 × 128,703,470.06
  4. Step 4: Simplify right side
    61,808,447.25x = 16,564,583,206,128,834
  5. Step 5: Solve for x
    x = 16,564,583,206,128,834/61,808,447.25
  6. Step 6: Final answer
    x = 267,998,695.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.