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Finding the Third Proportional to 170,599,427,298 and 375,318,143,347.50

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Solution

The third proportional to 170,599,427,298 and 375,318,143,347.50 is: 825,698,602,608.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,599,427,298 : 375,318,143,347.50 = 375,318,143,347.50 : x
  2. Step 2: Convert to fraction form
    170,599,427,298/375,318,143,347.50 = 375,318,143,347.50/x
  3. Step 3: Cross multiply
    170,599,427,298x = 375,318,143,347.50 × 375,318,143,347.50
  4. Step 4: Simplify right side
    170,599,427,298x = 140,863,708,725,814,566,584,320
  5. Step 5: Solve for x
    x = 140,863,708,725,814,566,584,320/170,599,427,298
  6. Step 6: Final answer
    x = 825,698,602,608.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.