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Finding the Third Proportional to 132,465,301 and 197,403,247

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Solution

The third proportional to 132,465,301 and 197,403,247 is: 294,175,468.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,465,301 : 197,403,247 = 197,403,247 : x
  2. Step 2: Convert to fraction form
    132,465,301/197,403,247 = 197,403,247/x
  3. Step 3: Cross multiply
    132,465,301x = 197,403,247 × 197,403,247
  4. Step 4: Simplify right side
    132,465,301x = 38,968,041,926,143,008
  5. Step 5: Solve for x
    x = 38,968,041,926,143,008/132,465,301
  6. Step 6: Final answer
    x = 294,175,468.08

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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.