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Finding the Third Proportional to 100,176,112.13 and 151,052,506.88

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Solution

The third proportional to 100,176,112.13 and 151,052,506.88 is: 227,767,472.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,176,112.13 : 151,052,506.88 = 151,052,506.88 : x
  2. Step 2: Convert to fraction form
    100,176,112.13/151,052,506.88 = 151,052,506.88/x
  3. Step 3: Cross multiply
    100,176,112.13x = 151,052,506.88 × 151,052,506.88
  4. Step 4: Simplify right side
    100,176,112.13x = 22,816,859,833,221,924
  5. Step 5: Solve for x
    x = 22,816,859,833,221,924/100,176,112.13
  6. Step 6: Final answer
    x = 227,767,472.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.