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Finding the Third Proportional to 232,658,196 and 360,255,393

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Solution

The third proportional to 232,658,196 and 360,255,393 is: 557,830,974.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,658,196 : 360,255,393 = 360,255,393 : x
  2. Step 2: Convert to fraction form
    232,658,196/360,255,393 = 360,255,393/x
  3. Step 3: Cross multiply
    232,658,196x = 360,255,393 × 360,255,393
  4. Step 4: Simplify right side
    232,658,196x = 129,783,948,185,584,448
  5. Step 5: Solve for x
    x = 129,783,948,185,584,448/232,658,196
  6. Step 6: Final answer
    x = 557,830,974.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.