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Finding the Third Proportional to 124,782,155 and 269,294,038

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Solution

The third proportional to 124,782,155 and 269,294,038 is: 581,167,065.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,782,155 : 269,294,038 = 269,294,038 : x
  2. Step 2: Convert to fraction form
    124,782,155/269,294,038 = 269,294,038/x
  3. Step 3: Cross multiply
    124,782,155x = 269,294,038 × 269,294,038
  4. Step 4: Simplify right side
    124,782,155x = 72,519,278,902,345,440
  5. Step 5: Solve for x
    x = 72,519,278,902,345,440/124,782,155
  6. Step 6: Final answer
    x = 581,167,065.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.