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Finding the Third Proportional to 134,265,021 and 207,328,683.50

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Solution

The third proportional to 134,265,021 and 207,328,683.50 is: 320,151,761.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,265,021 : 207,328,683.50 = 207,328,683.50 : x
  2. Step 2: Convert to fraction form
    134,265,021/207,328,683.50 = 207,328,683.50/x
  3. Step 3: Cross multiply
    134,265,021x = 207,328,683.50 × 207,328,683.50
  4. Step 4: Simplify right side
    134,265,021x = 42,985,183,001,843,176
  5. Step 5: Solve for x
    x = 42,985,183,001,843,176/134,265,021
  6. Step 6: Final answer
    x = 320,151,761.66

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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.