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Finding the Third Proportional to 97,807,585,782 and 146,126,649,231

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Solution

The third proportional to 97,807,585,782 and 146,126,649,231 is: 218,316,375,409.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,807,585,782 : 146,126,649,231 = 146,126,649,231 : x
  2. Step 2: Convert to fraction form
    97,807,585,782/146,126,649,231 = 146,126,649,231/x
  3. Step 3: Cross multiply
    97,807,585,782x = 146,126,649,231 × 146,126,649,231
  4. Step 4: Simplify right side
    97,807,585,782x = 21,352,997,615,479,711,334,400
  5. Step 5: Solve for x
    x = 21,352,997,615,479,711,334,400/97,807,585,782
  6. Step 6: Final answer
    x = 218,316,375,409.50

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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.