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Finding the Third Proportional to 160,720,024 and 348,838,772

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Solution

The third proportional to 160,720,024 and 348,838,772 is: 757,145,785.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,720,024 : 348,838,772 = 348,838,772 : x
  2. Step 2: Convert to fraction form
    160,720,024/348,838,772 = 348,838,772/x
  3. Step 3: Cross multiply
    160,720,024x = 348,838,772 × 348,838,772
  4. Step 4: Simplify right side
    160,720,024x = 121,688,488,850,467,984
  5. Step 5: Solve for x
    x = 121,688,488,850,467,984/160,720,024
  6. Step 6: Final answer
    x = 757,145,785.71

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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.