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Finding the Third Proportional to 47,666,758.50 and 101,053,585.13

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Solution

The third proportional to 47,666,758.50 and 101,053,585.13 is: 214,233,721.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,666,758.50 : 101,053,585.13 = 101,053,585.13 : x
  2. Step 2: Convert to fraction form
    47,666,758.50/101,053,585.13 = 101,053,585.13/x
  3. Step 3: Cross multiply
    47,666,758.50x = 101,053,585.13 × 101,053,585.13
  4. Step 4: Simplify right side
    47,666,758.50x = 10,211,827,066,615,622
  5. Step 5: Solve for x
    x = 10,211,827,066,615,622/47,666,758.50
  6. Step 6: Final answer
    x = 214,233,721.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.