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Finding the Third Proportional to 70,870,716 and 109,328,232

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Solution

The third proportional to 70,870,716 and 109,328,232 is: 168,654,459.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,870,716 : 109,328,232 = 109,328,232 : x
  2. Step 2: Convert to fraction form
    70,870,716/109,328,232 = 109,328,232/x
  3. Step 3: Cross multiply
    70,870,716x = 109,328,232 × 109,328,232
  4. Step 4: Simplify right side
    70,870,716x = 11,952,662,312,245,824
  5. Step 5: Solve for x
    x = 11,952,662,312,245,824/70,870,716
  6. Step 6: Final answer
    x = 168,654,459.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.