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Finding the Third Proportional to 110,955,706.50 and 176,708,086.50

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Solution

The third proportional to 110,955,706.50 and 176,708,086.50 is: 281,425,343.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,955,706.50 : 176,708,086.50 = 176,708,086.50 : x
  2. Step 2: Convert to fraction form
    110,955,706.50/176,708,086.50 = 176,708,086.50/x
  3. Step 3: Cross multiply
    110,955,706.50x = 176,708,086.50 × 176,708,086.50
  4. Step 4: Simplify right side
    110,955,706.50x = 31,225,747,834,491,484
  5. Step 5: Solve for x
    x = 31,225,747,834,491,484/110,955,706.50
  6. Step 6: Final answer
    x = 281,425,343.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.