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Finding the Third Proportional to 182,015,748 and 393,121,143

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Solution

The third proportional to 182,015,748 and 393,121,143 is: 849,070,669.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,015,748 : 393,121,143 = 393,121,143 : x
  2. Step 2: Convert to fraction form
    182,015,748/393,121,143 = 393,121,143/x
  3. Step 3: Cross multiply
    182,015,748x = 393,121,143 × 393,121,143
  4. Step 4: Simplify right side
    182,015,748x = 154,544,233,073,626,464
  5. Step 5: Solve for x
    x = 154,544,233,073,626,464/182,015,748
  6. Step 6: Final answer
    x = 849,070,669.83

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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.