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Finding the Third Proportional to 64,717,663.50 and 138,521,722.50

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Solution

The third proportional to 64,717,663.50 and 138,521,722.50 is: 296,491,970.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,717,663.50 : 138,521,722.50 = 138,521,722.50 : x
  2. Step 2: Convert to fraction form
    64,717,663.50/138,521,722.50 = 138,521,722.50/x
  3. Step 3: Cross multiply
    64,717,663.50x = 138,521,722.50 × 138,521,722.50
  4. Step 4: Simplify right side
    64,717,663.50x = 19,188,267,604,367,008
  5. Step 5: Solve for x
    x = 19,188,267,604,367,008/64,717,663.50
  6. Step 6: Final answer
    x = 296,491,970.92

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.