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Finding the Third Proportional to 38,964,141.75 and 84,710,200.50

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Solution

The third proportional to 38,964,141.75 and 84,710,200.50 is: 184,164,663.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,964,141.75 : 84,710,200.50 = 84,710,200.50 : x
  2. Step 2: Convert to fraction form
    38,964,141.75/84,710,200.50 = 84,710,200.50/x
  3. Step 3: Cross multiply
    38,964,141.75x = 84,710,200.50 × 84,710,200.50
  4. Step 4: Simplify right side
    38,964,141.75x = 7,175,818,068,750,200
  5. Step 5: Solve for x
    x = 7,175,818,068,750,200/38,964,141.75
  6. Step 6: Final answer
    x = 184,164,663.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.