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Finding the Third Proportional to 215,330,076 and 472,345,101

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Solution

The third proportional to 215,330,076 and 472,345,101 is: 1,036,129,734.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,330,076 : 472,345,101 = 472,345,101 : x
  2. Step 2: Convert to fraction form
    215,330,076/472,345,101 = 472,345,101/x
  3. Step 3: Cross multiply
    215,330,076x = 472,345,101 × 472,345,101
  4. Step 4: Simplify right side
    215,330,076x = 223,109,894,438,700,192
  5. Step 5: Solve for x
    x = 223,109,894,438,700,192/215,330,076
  6. Step 6: Final answer
    x = 1,036,129,734.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.