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Finding the Third Proportional to 265,679,088 and 583,662,144

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Solution

The third proportional to 265,679,088 and 583,662,144 is: 1,282,229,252.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,679,088 : 583,662,144 = 583,662,144 : x
  2. Step 2: Convert to fraction form
    265,679,088/583,662,144 = 583,662,144/x
  3. Step 3: Cross multiply
    265,679,088x = 583,662,144 × 583,662,144
  4. Step 4: Simplify right side
    265,679,088x = 340,661,498,338,676,736
  5. Step 5: Solve for x
    x = 340,661,498,338,676,736/265,679,088
  6. Step 6: Final answer
    x = 1,282,229,252.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.