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Finding the Third Proportional to 241,445,160 and 523,001,457

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Solution

The third proportional to 241,445,160 and 523,001,457 is: 1,132,888,826.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,445,160 : 523,001,457 = 523,001,457 : x
  2. Step 2: Convert to fraction form
    241,445,160/523,001,457 = 523,001,457/x
  3. Step 3: Cross multiply
    241,445,160x = 523,001,457 × 523,001,457
  4. Step 4: Simplify right side
    241,445,160x = 273,530,524,024,122,848
  5. Step 5: Solve for x
    x = 273,530,524,024,122,848/241,445,160
  6. Step 6: Final answer
    x = 1,132,888,826.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.