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Finding the Third Proportional to 65,710,426.50 and 102,149,781.75

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Solution

The third proportional to 65,710,426.50 and 102,149,781.75 is: 158,796,380.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,710,426.50 : 102,149,781.75 = 102,149,781.75 : x
  2. Step 2: Convert to fraction form
    65,710,426.50/102,149,781.75 = 102,149,781.75/x
  3. Step 3: Cross multiply
    65,710,426.50x = 102,149,781.75 × 102,149,781.75
  4. Step 4: Simplify right side
    65,710,426.50x = 10,434,577,911,572,634
  5. Step 5: Solve for x
    x = 10,434,577,911,572,634/65,710,426.50
  6. Step 6: Final answer
    x = 158,796,380.84

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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.