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Finding the Third Proportional to 233,929,800 and 363,688,407

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Solution

The third proportional to 233,929,800 and 363,688,407 is: 565,422,863.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,929,800 : 363,688,407 = 363,688,407 : x
  2. Step 2: Convert to fraction form
    233,929,800/363,688,407 = 363,688,407/x
  3. Step 3: Cross multiply
    233,929,800x = 363,688,407 × 363,688,407
  4. Step 4: Simplify right side
    233,929,800x = 132,269,257,386,197,648
  5. Step 5: Solve for x
    x = 132,269,257,386,197,648/233,929,800
  6. Step 6: Final answer
    x = 565,422,863.55

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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.