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Finding the Third Proportional to 77,083,688,198.25 and 117,841,093,220.25

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Solution

The third proportional to 77,083,688,198.25 and 117,841,093,220.25 is: 180,148,661,486.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,083,688,198.25 : 117,841,093,220.25 = 117,841,093,220.25 : x
  2. Step 2: Convert to fraction form
    77,083,688,198.25/117,841,093,220.25 = 117,841,093,220.25/x
  3. Step 3: Cross multiply
    77,083,688,198.25x = 117,841,093,220.25 × 117,841,093,220.25
  4. Step 4: Simplify right side
    77,083,688,198.25x = 13,886,523,251,343,650,455,552
  5. Step 5: Solve for x
    x = 13,886,523,251,343,650,455,552/77,083,688,198.25
  6. Step 6: Final answer
    x = 180,148,661,486.32

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.