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Finding the Third Proportional to 121,059,210 and 169,870,036

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Solution

The third proportional to 121,059,210 and 169,870,036 is: 238,361,287.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,059,210 : 169,870,036 = 169,870,036 : x
  2. Step 2: Convert to fraction form
    121,059,210/169,870,036 = 169,870,036/x
  3. Step 3: Cross multiply
    121,059,210x = 169,870,036 × 169,870,036
  4. Step 4: Simplify right side
    121,059,210x = 28,855,829,130,641,296
  5. Step 5: Solve for x
    x = 28,855,829,130,641,296/121,059,210
  6. Step 6: Final answer
    x = 238,361,287.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.