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Finding the Third Proportional to 230,462,001.56 and 506,892,351.94

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Solution

The third proportional to 230,462,001.56 and 506,892,351.94 is: 1,114,890,327.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,462,001.56 : 506,892,351.94 = 506,892,351.94 : x
  2. Step 2: Convert to fraction form
    230,462,001.56/506,892,351.94 = 506,892,351.94/x
  3. Step 3: Cross multiply
    230,462,001.56x = 506,892,351.94 × 506,892,351.94
  4. Step 4: Simplify right side
    230,462,001.56x = 256,939,856,452,730,368
  5. Step 5: Solve for x
    x = 256,939,856,452,730,368/230,462,001.56
  6. Step 6: Final answer
    x = 1,114,890,327.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.