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Finding the Third Proportional to 134,265,314 and 207,329,130

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Solution

The third proportional to 134,265,314 and 207,329,130 is: 320,152,441.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,265,314 : 207,329,130 = 207,329,130 : x
  2. Step 2: Convert to fraction form
    134,265,314/207,329,130 = 207,329,130/x
  3. Step 3: Cross multiply
    134,265,314x = 207,329,130 × 207,329,130
  4. Step 4: Simplify right side
    134,265,314x = 42,985,368,146,556,896
  5. Step 5: Solve for x
    x = 42,985,368,146,556,896/134,265,314
  6. Step 6: Final answer
    x = 320,152,441.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.