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Finding the Third Proportional to 110,299,773 and 174,573,949.50

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Solution

The third proportional to 110,299,773 and 174,573,949.50 is: 276,302,144.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,299,773 : 174,573,949.50 = 174,573,949.50 : x
  2. Step 2: Convert to fraction form
    110,299,773/174,573,949.50 = 174,573,949.50/x
  3. Step 3: Cross multiply
    110,299,773x = 174,573,949.50 × 174,573,949.50
  4. Step 4: Simplify right side
    110,299,773x = 30,476,063,844,028,552
  5. Step 5: Solve for x
    x = 30,476,063,844,028,552/110,299,773
  6. Step 6: Final answer
    x = 276,302,144.74

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.