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Finding the Third Proportional to 167,126,853.71 and 366,538,748.17

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Solution

The third proportional to 167,126,853.71 and 366,538,748.17 is: 803,884,300.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,126,853.71 : 366,538,748.17 = 366,538,748.17 : x
  2. Step 2: Convert to fraction form
    167,126,853.71/366,538,748.17 = 366,538,748.17/x
  3. Step 3: Cross multiply
    167,126,853.71x = 366,538,748.17 × 366,538,748.17
  4. Step 4: Simplify right side
    167,126,853.71x = 134,350,653,908,527,856
  5. Step 5: Solve for x
    x = 134,350,653,908,527,856/167,126,853.71
  6. Step 6: Final answer
    x = 803,884,300.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.