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Finding the Third Proportional to 69,109,195,716 and 103,210,927,092

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Solution

The third proportional to 69,109,195,716 and 103,210,927,092 is: 154,140,058,509.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,109,195,716 : 103,210,927,092 = 103,210,927,092 : x
  2. Step 2: Convert to fraction form
    69,109,195,716/103,210,927,092 = 103,210,927,092/x
  3. Step 3: Cross multiply
    69,109,195,716x = 103,210,927,092 × 103,210,927,092
  4. Step 4: Simplify right side
    69,109,195,716x = 10,652,495,471,190,139,207,680
  5. Step 5: Solve for x
    x = 10,652,495,471,190,139,207,680/69,109,195,716
  6. Step 6: Final answer
    x = 154,140,058,509.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.