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Finding the Third Proportional to 153,215,562.13 and 214,991,764.15

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Solution

The third proportional to 153,215,562.13 and 214,991,764.15 is: 301,676,004.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,215,562.13 : 214,991,764.15 = 214,991,764.15 : x
  2. Step 2: Convert to fraction form
    153,215,562.13/214,991,764.15 = 214,991,764.15/x
  3. Step 3: Cross multiply
    153,215,562.13x = 214,991,764.15 × 214,991,764.15
  4. Step 4: Simplify right side
    153,215,562.13x = 46,221,458,654,173,848
  5. Step 5: Solve for x
    x = 46,221,458,654,173,848/153,215,562.13
  6. Step 6: Final answer
    x = 301,676,004.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.