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Finding the Third Proportional to 119,294,526,883.50 and 185,227,495,301.25

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Solution

The third proportional to 119,294,526,883.50 and 185,227,495,301.25 is: 287,600,998,234.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,294,526,883.50 : 185,227,495,301.25 = 185,227,495,301.25 : x
  2. Step 2: Convert to fraction form
    119,294,526,883.50/185,227,495,301.25 = 185,227,495,301.25/x
  3. Step 3: Cross multiply
    119,294,526,883.50x = 185,227,495,301.25 × 185,227,495,301.25
  4. Step 4: Simplify right side
    119,294,526,883.50x = 34,309,225,015,574,588,817,408
  5. Step 5: Solve for x
    x = 34,309,225,015,574,588,817,408/119,294,526,883.50
  6. Step 6: Final answer
    x = 287,600,998,234.23

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