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Finding the Third Proportional to 138,417,705 and 326,748,225

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Solution

The third proportional to 138,417,705 and 326,748,225 is: 771,320,421.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,417,705 : 326,748,225 = 326,748,225 : x
  2. Step 2: Convert to fraction form
    138,417,705/326,748,225 = 326,748,225/x
  3. Step 3: Cross multiply
    138,417,705x = 326,748,225 × 326,748,225
  4. Step 4: Simplify right side
    138,417,705x = 106,764,402,540,650,624
  5. Step 5: Solve for x
    x = 106,764,402,540,650,624/138,417,705
  6. Step 6: Final answer
    x = 771,320,421.33

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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.