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Finding the Third Proportional to 238,914,087,472.50 and 511,906,006,920

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Solution

The third proportional to 238,914,087,472.50 and 511,906,006,920 is: 1,096,828,415,155.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,914,087,472.50 : 511,906,006,920 = 511,906,006,920 : x
  2. Step 2: Convert to fraction form
    238,914,087,472.50/511,906,006,920 = 511,906,006,920/x
  3. Step 3: Cross multiply
    238,914,087,472.50x = 511,906,006,920 × 511,906,006,920
  4. Step 4: Simplify right side
    238,914,087,472.50x = 262,047,759,920,779,086,528,512
  5. Step 5: Solve for x
    x = 262,047,759,920,779,086,528,512/238,914,087,472.50
  6. Step 6: Final answer
    x = 1,096,828,415,155.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.