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Finding the Third Proportional to 84,912,943 and 185,197,540

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Solution

The third proportional to 84,912,943 and 185,197,540 is: 403,921,093.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,912,943 : 185,197,540 = 185,197,540 : x
  2. Step 2: Convert to fraction form
    84,912,943/185,197,540 = 185,197,540/x
  3. Step 3: Cross multiply
    84,912,943x = 185,197,540 × 185,197,540
  4. Step 4: Simplify right side
    84,912,943x = 34,298,128,822,051,600
  5. Step 5: Solve for x
    x = 34,298,128,822,051,600/84,912,943
  6. Step 6: Final answer
    x = 403,921,093.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.