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Finding the Third Proportional to 86,709,654.56 and 126,808,727.34

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Solution

The third proportional to 86,709,654.56 and 126,808,727.34 is: 185,451,705.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,709,654.56 : 126,808,727.34 = 126,808,727.34 : x
  2. Step 2: Convert to fraction form
    86,709,654.56/126,808,727.34 = 126,808,727.34/x
  3. Step 3: Cross multiply
    86,709,654.56x = 126,808,727.34 × 126,808,727.34
  4. Step 4: Simplify right side
    86,709,654.56x = 16,080,453,330,541,528
  5. Step 5: Solve for x
    x = 16,080,453,330,541,528/86,709,654.56
  6. Step 6: Final answer
    x = 185,451,705.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.