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Finding the Third Proportional to 106,778,236 and 229,652,792

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Solution

The third proportional to 106,778,236 and 229,652,792 is: 493,924,669.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,778,236 : 229,652,792 = 229,652,792 : x
  2. Step 2: Convert to fraction form
    106,778,236/229,652,792 = 229,652,792/x
  3. Step 3: Cross multiply
    106,778,236x = 229,652,792 × 229,652,792
  4. Step 4: Simplify right side
    106,778,236x = 52,740,404,873,395,264
  5. Step 5: Solve for x
    x = 52,740,404,873,395,264/106,778,236
  6. Step 6: Final answer
    x = 493,924,669.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.