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Finding the Third Proportional to 130,563,572 and 197,524,584

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Solution

The third proportional to 130,563,572 and 197,524,584 is: 298,827,312.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,563,572 : 197,524,584 = 197,524,584 : x
  2. Step 2: Convert to fraction form
    130,563,572/197,524,584 = 197,524,584/x
  3. Step 3: Cross multiply
    130,563,572x = 197,524,584 × 197,524,584
  4. Step 4: Simplify right side
    130,563,572x = 39,015,961,284,373,056
  5. Step 5: Solve for x
    x = 39,015,961,284,373,056/130,563,572
  6. Step 6: Final answer
    x = 298,827,312.14

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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.