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Finding the Third Proportional to 201,172,464 and 307,532,700

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Solution

The third proportional to 201,172,464 and 307,532,700 is: 470,125,780.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,172,464 : 307,532,700 = 307,532,700 : x
  2. Step 2: Convert to fraction form
    201,172,464/307,532,700 = 307,532,700/x
  3. Step 3: Cross multiply
    201,172,464x = 307,532,700 × 307,532,700
  4. Step 4: Simplify right side
    201,172,464x = 94,576,361,569,290,000
  5. Step 5: Solve for x
    x = 94,576,361,569,290,000/201,172,464
  6. Step 6: Final answer
    x = 470,125,780.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.