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Finding the Third Proportional to 120,252,748 and 257,511,588

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Solution

The third proportional to 120,252,748 and 257,511,588 is: 551,440,354.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,252,748 : 257,511,588 = 257,511,588 : x
  2. Step 2: Convert to fraction form
    120,252,748/257,511,588 = 257,511,588/x
  3. Step 3: Cross multiply
    120,252,748x = 257,511,588 × 257,511,588
  4. Step 4: Simplify right side
    120,252,748x = 66,312,217,954,281,744
  5. Step 5: Solve for x
    x = 66,312,217,954,281,744/120,252,748
  6. Step 6: Final answer
    x = 551,440,354.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.