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Finding the Third Proportional to 134,265,070 and 207,328,763.50

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Solution

The third proportional to 134,265,070 and 207,328,763.50 is: 320,151,891.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,265,070 : 207,328,763.50 = 207,328,763.50 : x
  2. Step 2: Convert to fraction form
    134,265,070/207,328,763.50 = 207,328,763.50/x
  3. Step 3: Cross multiply
    134,265,070x = 207,328,763.50 × 207,328,763.50
  4. Step 4: Simplify right side
    134,265,070x = 42,985,216,174,438,936
  5. Step 5: Solve for x
    x = 42,985,216,174,438,936/134,265,070
  6. Step 6: Final answer
    x = 320,151,891.88

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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.