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Finding the Third Proportional to 200,177,045 and 431,069,290

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Solution

The third proportional to 200,177,045 and 431,069,290 is: 928,281,925.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,177,045 : 431,069,290 = 431,069,290 : x
  2. Step 2: Convert to fraction form
    200,177,045/431,069,290 = 431,069,290/x
  3. Step 3: Cross multiply
    200,177,045x = 431,069,290 × 431,069,290
  4. Step 4: Simplify right side
    200,177,045x = 185,820,732,781,104,096
  5. Step 5: Solve for x
    x = 185,820,732,781,104,096/200,177,045
  6. Step 6: Final answer
    x = 928,281,925.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.