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Finding the Third Proportional to 283,258,218 and 609,563,208

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Solution

The third proportional to 283,258,218 and 609,563,208 is: 1,311,761,781.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,258,218 : 609,563,208 = 609,563,208 : x
  2. Step 2: Convert to fraction form
    283,258,218/609,563,208 = 609,563,208/x
  3. Step 3: Cross multiply
    283,258,218x = 609,563,208 × 609,563,208
  4. Step 4: Simplify right side
    283,258,218x = 371,567,304,547,251,264
  5. Step 5: Solve for x
    x = 371,567,304,547,251,264/283,258,218
  6. Step 6: Final answer
    x = 1,311,761,781.07

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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.