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Finding the Third Proportional to 285,534,488.25 and 385,253,066.25

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Solution

The third proportional to 285,534,488.25 and 385,253,066.25 is: 519,796,841.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,534,488.25 : 385,253,066.25 = 385,253,066.25 : x
  2. Step 2: Convert to fraction form
    285,534,488.25/385,253,066.25 = 385,253,066.25/x
  3. Step 3: Cross multiply
    285,534,488.25x = 385,253,066.25 × 385,253,066.25
  4. Step 4: Simplify right side
    285,534,488.25x = 148,419,925,055,026,880
  5. Step 5: Solve for x
    x = 148,419,925,055,026,880/285,534,488.25
  6. Step 6: Final answer
    x = 519,796,841.23

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.