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Finding the Third Proportional to 98,569,744 and 153,230,208

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Solution

The third proportional to 98,569,744 and 153,230,208 is: 238,201,862.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,569,744 : 153,230,208 = 153,230,208 : x
  2. Step 2: Convert to fraction form
    98,569,744/153,230,208 = 153,230,208/x
  3. Step 3: Cross multiply
    98,569,744x = 153,230,208 × 153,230,208
  4. Step 4: Simplify right side
    98,569,744x = 23,479,496,643,723,264
  5. Step 5: Solve for x
    x = 23,479,496,643,723,264/98,569,744
  6. Step 6: Final answer
    x = 238,201,862.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.