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Finding the Third Proportional to 160,457,552 and 346,451,488

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Solution

The third proportional to 160,457,552 and 346,451,488 is: 748,039,790.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,457,552 : 346,451,488 = 346,451,488 : x
  2. Step 2: Convert to fraction form
    160,457,552/346,451,488 = 346,451,488/x
  3. Step 3: Cross multiply
    160,457,552x = 346,451,488 × 346,451,488
  4. Step 4: Simplify right side
    160,457,552x = 120,028,633,537,414,144
  5. Step 5: Solve for x
    x = 120,028,633,537,414,144/160,457,552
  6. Step 6: Final answer
    x = 748,039,790.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.