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Finding the Third Proportional to 76,153,635 and 116,016,016.50

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Solution

The third proportional to 76,153,635 and 116,016,016.50 is: 176,744,236.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,153,635 : 116,016,016.50 = 116,016,016.50 : x
  2. Step 2: Convert to fraction form
    76,153,635/116,016,016.50 = 116,016,016.50/x
  3. Step 3: Cross multiply
    76,153,635x = 116,016,016.50 × 116,016,016.50
  4. Step 4: Simplify right side
    76,153,635x = 13,459,716,084,528,272
  5. Step 5: Solve for x
    x = 13,459,716,084,528,272/76,153,635
  6. Step 6: Final answer
    x = 176,744,236.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.