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Finding the Third Proportional to 59,294,604,889 and 90,331,229,044.50

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Solution

The third proportional to 59,294,604,889 and 90,331,229,044.50 is: 137,613,379,091.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,294,604,889 : 90,331,229,044.50 = 90,331,229,044.50 : x
  2. Step 2: Convert to fraction form
    59,294,604,889/90,331,229,044.50 = 90,331,229,044.50/x
  3. Step 3: Cross multiply
    59,294,604,889x = 90,331,229,044.50 × 90,331,229,044.50
  4. Step 4: Simplify right side
    59,294,604,889x = 8,159,730,940,689,920,294,912
  5. Step 5: Solve for x
    x = 8,159,730,940,689,920,294,912/59,294,604,889
  6. Step 6: Final answer
    x = 137,613,379,091.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.