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Finding the Third Proportional to 192,525,282 and 288,829,602

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Solution

The third proportional to 192,525,282 and 288,829,602 is: 433,306,930.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,525,282 : 288,829,602 = 288,829,602 : x
  2. Step 2: Convert to fraction form
    192,525,282/288,829,602 = 288,829,602/x
  3. Step 3: Cross multiply
    192,525,282x = 288,829,602 × 288,829,602
  4. Step 4: Simplify right side
    192,525,282x = 83,422,538,991,478,400
  5. Step 5: Solve for x
    x = 83,422,538,991,478,400/192,525,282
  6. Step 6: Final answer
    x = 433,306,930.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.