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Finding the Third Proportional to 98,073,996 and 206,311,710

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Solution

The third proportional to 98,073,996 and 206,311,710 is: 434,004,154.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,073,996 : 206,311,710 = 206,311,710 : x
  2. Step 2: Convert to fraction form
    98,073,996/206,311,710 = 206,311,710/x
  3. Step 3: Cross multiply
    98,073,996x = 206,311,710 × 206,311,710
  4. Step 4: Simplify right side
    98,073,996x = 42,564,521,683,124,096
  5. Step 5: Solve for x
    x = 42,564,521,683,124,096/98,073,996
  6. Step 6: Final answer
    x = 434,004,154.20

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.