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Finding the Third Proportional to 115,119,807.75 and 177,126,031.13

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Solution

The third proportional to 115,119,807.75 and 177,126,031.13 is: 272,530,257.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,119,807.75 : 177,126,031.13 = 177,126,031.13 : x
  2. Step 2: Convert to fraction form
    115,119,807.75/177,126,031.13 = 177,126,031.13/x
  3. Step 3: Cross multiply
    115,119,807.75x = 177,126,031.13 × 177,126,031.13
  4. Step 4: Simplify right side
    115,119,807.75x = 31,373,630,902,094,468
  5. Step 5: Solve for x
    x = 31,373,630,902,094,468/115,119,807.75
  6. Step 6: Final answer
    x = 272,530,257.96

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.