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Finding the Third Proportional to 98,189,440 and 147,284,160

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Solution

The third proportional to 98,189,440 and 147,284,160 is: 220,926,240

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,189,440 : 147,284,160 = 147,284,160 : x
  2. Step 2: Convert to fraction form
    98,189,440/147,284,160 = 147,284,160/x
  3. Step 3: Cross multiply
    98,189,440x = 147,284,160 × 147,284,160
  4. Step 4: Simplify right side
    98,189,440x = 21,692,623,786,905,600
  5. Step 5: Solve for x
    x = 21,692,623,786,905,600/98,189,440
  6. Step 6: Final answer
    x = 220,926,240

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.