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Finding the Third Proportional to 78,564,936 and 170,730,096

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Solution

The third proportional to 78,564,936 and 170,730,096 is: 371,014,948.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,564,936 : 170,730,096 = 170,730,096 : x
  2. Step 2: Convert to fraction form
    78,564,936/170,730,096 = 170,730,096/x
  3. Step 3: Cross multiply
    78,564,936x = 170,730,096 × 170,730,096
  4. Step 4: Simplify right side
    78,564,936x = 29,148,765,680,169,216
  5. Step 5: Solve for x
    x = 29,148,765,680,169,216/78,564,936
  6. Step 6: Final answer
    x = 371,014,948.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.