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Finding the Third Proportional to 118,098,880 and 257,687,704

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Solution

The third proportional to 118,098,880 and 257,687,704 is: 562,265,728.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,098,880 : 257,687,704 = 257,687,704 : x
  2. Step 2: Convert to fraction form
    118,098,880/257,687,704 = 257,687,704/x
  3. Step 3: Cross multiply
    118,098,880x = 257,687,704 × 257,687,704
  4. Step 4: Simplify right side
    118,098,880x = 66,402,952,792,791,616
  5. Step 5: Solve for x
    x = 66,402,952,792,791,616/118,098,880
  6. Step 6: Final answer
    x = 562,265,728.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.