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Finding the Third Proportional to 75,222,534 and 163,799,296.50

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Solution

The third proportional to 75,222,534 and 163,799,296.50 is: 356,677,821.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,222,534 : 163,799,296.50 = 163,799,296.50 : x
  2. Step 2: Convert to fraction form
    75,222,534/163,799,296.50 = 163,799,296.50/x
  3. Step 3: Cross multiply
    75,222,534x = 163,799,296.50 × 163,799,296.50
  4. Step 4: Simplify right side
    75,222,534x = 26,830,209,533,894,912
  5. Step 5: Solve for x
    x = 26,830,209,533,894,912/75,222,534
  6. Step 6: Final answer
    x = 356,677,821.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.