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Finding the Third Proportional to 61,403,014 and 133,166,280

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Solution

The third proportional to 61,403,014 and 133,166,280 is: 288,801,102.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,403,014 : 133,166,280 = 133,166,280 : x
  2. Step 2: Convert to fraction form
    61,403,014/133,166,280 = 133,166,280/x
  3. Step 3: Cross multiply
    61,403,014x = 133,166,280 × 133,166,280
  4. Step 4: Simplify right side
    61,403,014x = 17,733,258,129,038,400
  5. Step 5: Solve for x
    x = 17,733,258,129,038,400/61,403,014
  6. Step 6: Final answer
    x = 288,801,102.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.