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Finding the Third Proportional to 147,113,941.50 and 312,160,203

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Solution

The third proportional to 147,113,941.50 and 312,160,203 is: 662,370,889.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,113,941.50 : 312,160,203 = 312,160,203 : x
  2. Step 2: Convert to fraction form
    147,113,941.50/312,160,203 = 312,160,203/x
  3. Step 3: Cross multiply
    147,113,941.50x = 312,160,203 × 312,160,203
  4. Step 4: Simplify right side
    147,113,941.50x = 97,443,992,337,001,216
  5. Step 5: Solve for x
    x = 97,443,992,337,001,216/147,113,941.50
  6. Step 6: Final answer
    x = 662,370,889.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.