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Finding the Third Proportional to 132,465,304 and 197,403,252

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Solution

The third proportional to 132,465,304 and 197,403,252 is: 294,175,476.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,465,304 : 197,403,252 = 197,403,252 : x
  2. Step 2: Convert to fraction form
    132,465,304/197,403,252 = 197,403,252/x
  3. Step 3: Cross multiply
    132,465,304x = 197,403,252 × 197,403,252
  4. Step 4: Simplify right side
    132,465,304x = 38,968,043,900,175,504
  5. Step 5: Solve for x
    x = 38,968,043,900,175,504/132,465,304
  6. Step 6: Final answer
    x = 294,175,476.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.