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Finding the Third Proportional to 89,460,348 and 195,670,188

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Solution

The third proportional to 89,460,348 and 195,670,188 is: 427,975,335.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,460,348 : 195,670,188 = 195,670,188 : x
  2. Step 2: Convert to fraction form
    89,460,348/195,670,188 = 195,670,188/x
  3. Step 3: Cross multiply
    89,460,348x = 195,670,188 × 195,670,188
  4. Step 4: Simplify right side
    89,460,348x = 38,286,822,471,955,344
  5. Step 5: Solve for x
    x = 38,286,822,471,955,344/89,460,348
  6. Step 6: Final answer
    x = 427,975,335.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.