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Finding the Third Proportional to 202,825,128 and 304,281,588

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Solution

The third proportional to 202,825,128 and 304,281,588 is: 456,488,235.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,825,128 : 304,281,588 = 304,281,588 : x
  2. Step 2: Convert to fraction form
    202,825,128/304,281,588 = 304,281,588/x
  3. Step 3: Cross multiply
    202,825,128x = 304,281,588 × 304,281,588
  4. Step 4: Simplify right side
    202,825,128x = 92,587,284,795,801,744
  5. Step 5: Solve for x
    x = 92,587,284,795,801,744/202,825,128
  6. Step 6: Final answer
    x = 456,488,235.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.