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Finding the Third Proportional to 119,294,526,886 and 185,227,495,304

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Solution

The third proportional to 119,294,526,886 and 185,227,495,304 is: 287,600,998,236.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,294,526,886 : 185,227,495,304 = 185,227,495,304 : x
  2. Step 2: Convert to fraction form
    119,294,526,886/185,227,495,304 = 185,227,495,304/x
  3. Step 3: Cross multiply
    119,294,526,886x = 185,227,495,304 × 185,227,495,304
  4. Step 4: Simplify right side
    119,294,526,886x = 34,309,225,016,593,343,315,968
  5. Step 5: Solve for x
    x = 34,309,225,016,593,343,315,968/119,294,526,886
  6. Step 6: Final answer
    x = 287,600,998,236.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.