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Finding the Third Proportional to 75,222,535 and 163,799,298.50

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Solution

The third proportional to 75,222,535 and 163,799,298.50 is: 356,677,825.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,222,535 : 163,799,298.50 = 163,799,298.50 : x
  2. Step 2: Convert to fraction form
    75,222,535/163,799,298.50 = 163,799,298.50/x
  3. Step 3: Cross multiply
    75,222,535x = 163,799,298.50 × 163,799,298.50
  4. Step 4: Simplify right side
    75,222,535x = 26,830,210,189,092,104
  5. Step 5: Solve for x
    x = 26,830,210,189,092,104/75,222,535
  6. Step 6: Final answer
    x = 356,677,825.19

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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.