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Finding the Third Proportional to 138,417,702 and 326,748,217.50

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Solution

The third proportional to 138,417,702 and 326,748,217.50 is: 771,320,402.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,417,702 : 326,748,217.50 = 326,748,217.50 : x
  2. Step 2: Convert to fraction form
    138,417,702/326,748,217.50 = 326,748,217.50/x
  3. Step 3: Cross multiply
    138,417,702x = 326,748,217.50 × 326,748,217.50
  4. Step 4: Simplify right side
    138,417,702x = 106,764,397,639,427,312
  5. Step 5: Solve for x
    x = 106,764,397,639,427,312/138,417,702
  6. Step 6: Final answer
    x = 771,320,402.64

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.