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Finding the Third Proportional to 130,563,472 and 197,524,464

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Solution

The third proportional to 130,563,472 and 197,524,464 is: 298,827,177.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,563,472 : 197,524,464 = 197,524,464 : x
  2. Step 2: Convert to fraction form
    130,563,472/197,524,464 = 197,524,464/x
  3. Step 3: Cross multiply
    130,563,472x = 197,524,464 × 197,524,464
  4. Step 4: Simplify right side
    130,563,472x = 39,015,913,878,487,296
  5. Step 5: Solve for x
    x = 39,015,913,878,487,296/130,563,472
  6. Step 6: Final answer
    x = 298,827,177.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.