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Finding the Third Proportional to 75,882,602 and 163,274,202

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Solution

The third proportional to 75,882,602 and 163,274,202 is: 351,311,952.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,882,602 : 163,274,202 = 163,274,202 : x
  2. Step 2: Convert to fraction form
    75,882,602/163,274,202 = 163,274,202/x
  3. Step 3: Cross multiply
    75,882,602x = 163,274,202 × 163,274,202
  4. Step 4: Simplify right side
    75,882,602x = 26,658,465,038,736,804
  5. Step 5: Solve for x
    x = 26,658,465,038,736,804/75,882,602
  6. Step 6: Final answer
    x = 351,311,952.10

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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.