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Finding the Third Proportional to 73,083,068,768 and 116,289,529,384

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Solution

The third proportional to 73,083,068,768 and 116,289,529,384 is: 185,039,501,930.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,083,068,768 : 116,289,529,384 = 116,289,529,384 : x
  2. Step 2: Convert to fraction form
    73,083,068,768/116,289,529,384 = 116,289,529,384/x
  3. Step 3: Cross multiply
    73,083,068,768x = 116,289,529,384 × 116,289,529,384
  4. Step 4: Simplify right side
    73,083,068,768x = 13,523,254,644,352,200,212,480
  5. Step 5: Solve for x
    x = 13,523,254,644,352,200,212,480/73,083,068,768
  6. Step 6: Final answer
    x = 185,039,501,930.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.