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Finding the Third Proportional to 98,931,176 and 136,704,188

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Solution

The third proportional to 98,931,176 and 136,704,188 is: 188,899,351.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,931,176 : 136,704,188 = 136,704,188 : x
  2. Step 2: Convert to fraction form
    98,931,176/136,704,188 = 136,704,188/x
  3. Step 3: Cross multiply
    98,931,176x = 136,704,188 × 136,704,188
  4. Step 4: Simplify right side
    98,931,176x = 18,688,035,016,739,344
  5. Step 5: Solve for x
    x = 18,688,035,016,739,344/98,931,176
  6. Step 6: Final answer
    x = 188,899,351.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.