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Finding the Third Proportional to 106,649,946 and 159,276,051

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Solution

The third proportional to 106,649,946 and 159,276,051 is: 237,870,354.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,649,946 : 159,276,051 = 159,276,051 : x
  2. Step 2: Convert to fraction form
    106,649,946/159,276,051 = 159,276,051/x
  3. Step 3: Cross multiply
    106,649,946x = 159,276,051 × 159,276,051
  4. Step 4: Simplify right side
    106,649,946x = 25,368,860,422,154,600
  5. Step 5: Solve for x
    x = 25,368,860,422,154,600/106,649,946
  6. Step 6: Final answer
    x = 237,870,354.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.