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Finding the Third Proportional to 116,396,748 and 161,840,376

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Solution

The third proportional to 116,396,748 and 161,840,376 is: 225,026,109.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,396,748 : 161,840,376 = 161,840,376 : x
  2. Step 2: Convert to fraction form
    116,396,748/161,840,376 = 161,840,376/x
  3. Step 3: Cross multiply
    116,396,748x = 161,840,376 × 161,840,376
  4. Step 4: Simplify right side
    116,396,748x = 26,192,307,303,821,376
  5. Step 5: Solve for x
    x = 26,192,307,303,821,376/116,396,748
  6. Step 6: Final answer
    x = 225,026,109.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.