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Finding the Third Proportional to 73,853,705 and 170,957,963

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Solution

The third proportional to 73,853,705 and 170,957,963 is: 395,736,748.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,853,705 : 170,957,963 = 170,957,963 : x
  2. Step 2: Convert to fraction form
    73,853,705/170,957,963 = 170,957,963/x
  3. Step 3: Cross multiply
    73,853,705x = 170,957,963 × 170,957,963
  4. Step 4: Simplify right side
    73,853,705x = 29,226,625,113,109,368
  5. Step 5: Solve for x
    x = 29,226,625,113,109,368/73,853,705
  6. Step 6: Final answer
    x = 395,736,748.93

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.