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Finding the Third Proportional to 282,898,657 and 618,389,156

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Solution

The third proportional to 282,898,657 and 618,389,156 is: 1,351,739,001.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,898,657 : 618,389,156 = 618,389,156 : x
  2. Step 2: Convert to fraction form
    282,898,657/618,389,156 = 618,389,156/x
  3. Step 3: Cross multiply
    282,898,657x = 618,389,156 × 618,389,156
  4. Step 4: Simplify right side
    282,898,657x = 382,405,148,258,392,320
  5. Step 5: Solve for x
    x = 382,405,148,258,392,320/282,898,657
  6. Step 6: Final answer
    x = 1,351,739,001.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.