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Finding the Third Proportional to 98,196,683 and 147,295,026

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Solution

The third proportional to 98,196,683 and 147,295,026 is: 220,942,541.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,196,683 : 147,295,026 = 147,295,026 : x
  2. Step 2: Convert to fraction form
    98,196,683/147,295,026 = 147,295,026/x
  3. Step 3: Cross multiply
    98,196,683x = 147,295,026 × 147,295,026
  4. Step 4: Simplify right side
    98,196,683x = 21,695,824,684,340,676
  5. Step 5: Solve for x
    x = 21,695,824,684,340,676/98,196,683
  6. Step 6: Final answer
    x = 220,942,541.25

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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.