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Finding the Third Proportional to 115,242,944 and 249,618,304

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Solution

The third proportional to 115,242,944 and 249,618,304 is: 540,677,767.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,242,944 : 249,618,304 = 249,618,304 : x
  2. Step 2: Convert to fraction form
    115,242,944/249,618,304 = 249,618,304/x
  3. Step 3: Cross multiply
    115,242,944x = 249,618,304 × 249,618,304
  4. Step 4: Simplify right side
    115,242,944x = 62,309,297,691,836,416
  5. Step 5: Solve for x
    x = 62,309,297,691,836,416/115,242,944
  6. Step 6: Final answer
    x = 540,677,767.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.