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Finding the Third Proportional to 76,461,331,470 and 119,945,267,068.50

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Solution

The third proportional to 76,461,331,470 and 119,945,267,068.50 is: 188,158,730,897.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,461,331,470 : 119,945,267,068.50 = 119,945,267,068.50 : x
  2. Step 2: Convert to fraction form
    76,461,331,470/119,945,267,068.50 = 119,945,267,068.50/x
  3. Step 3: Cross multiply
    76,461,331,470x = 119,945,267,068.50 × 119,945,267,068.50
  4. Step 4: Simplify right side
    76,461,331,470x = 14,386,867,092,133,790,089,216
  5. Step 5: Solve for x
    x = 14,386,867,092,133,790,089,216/76,461,331,470
  6. Step 6: Final answer
    x = 188,158,730,897.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.