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Finding the Third Proportional to 130,563,574 and 197,524,587

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Solution

The third proportional to 130,563,574 and 197,524,587 is: 298,827,316.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,563,574 : 197,524,587 = 197,524,587 : x
  2. Step 2: Convert to fraction form
    130,563,574/197,524,587 = 197,524,587/x
  3. Step 3: Cross multiply
    130,563,574x = 197,524,587 × 197,524,587
  4. Step 4: Simplify right side
    130,563,574x = 39,015,962,469,520,568
  5. Step 5: Solve for x
    x = 39,015,962,469,520,568/130,563,574
  6. Step 6: Final answer
    x = 298,827,316.64

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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.