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Finding the Third Proportional to 102,046,279.50 and 157,063,581

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Solution

The third proportional to 102,046,279.50 and 157,063,581 is: 241,742,948.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,046,279.50 : 157,063,581 = 157,063,581 : x
  2. Step 2: Convert to fraction form
    102,046,279.50/157,063,581 = 157,063,581/x
  3. Step 3: Cross multiply
    102,046,279.50x = 157,063,581 × 157,063,581
  4. Step 4: Simplify right side
    102,046,279.50x = 24,668,968,476,543,560
  5. Step 5: Solve for x
    x = 24,668,968,476,543,560/102,046,279.50
  6. Step 6: Final answer
    x = 241,742,948.37

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Why These Related Problems?

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