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Finding the Third Proportional to 163,923,880 and 249,242,398

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Solution

The third proportional to 163,923,880 and 249,242,398 is: 378,967,194.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,923,880 : 249,242,398 = 249,242,398 : x
  2. Step 2: Convert to fraction form
    163,923,880/249,242,398 = 249,242,398/x
  3. Step 3: Cross multiply
    163,923,880x = 249,242,398 × 249,242,398
  4. Step 4: Simplify right side
    163,923,880x = 62,121,772,960,790,400
  5. Step 5: Solve for x
    x = 62,121,772,960,790,400/163,923,880
  6. Step 6: Final answer
    x = 378,967,194.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.