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Finding the Third Proportional to 103,980,996 and 160,924,968

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Solution

The third proportional to 103,980,996 and 160,924,968 is: 249,053,637.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,980,996 : 160,924,968 = 160,924,968 : x
  2. Step 2: Convert to fraction form
    103,980,996/160,924,968 = 160,924,968/x
  3. Step 3: Cross multiply
    103,980,996x = 160,924,968 × 160,924,968
  4. Step 4: Simplify right side
    103,980,996x = 25,896,845,325,801,024
  5. Step 5: Solve for x
    x = 25,896,845,325,801,024/103,980,996
  6. Step 6: Final answer
    x = 249,053,637.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.