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Finding the Third Proportional to 130,073,832 and 191,517,415

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Solution

The third proportional to 130,073,832 and 191,517,415 is: 281,985,390.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,073,832 : 191,517,415 = 191,517,415 : x
  2. Step 2: Convert to fraction form
    130,073,832/191,517,415 = 191,517,415/x
  3. Step 3: Cross multiply
    130,073,832x = 191,517,415 × 191,517,415
  4. Step 4: Simplify right side
    130,073,832x = 36,678,920,248,282,224
  5. Step 5: Solve for x
    x = 36,678,920,248,282,224/130,073,832
  6. Step 6: Final answer
    x = 281,985,390.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.