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Finding the Third Proportional to 116,338,296 and 180,386,535

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Solution

The third proportional to 116,338,296 and 180,386,535 is: 279,695,535.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,338,296 : 180,386,535 = 180,386,535 : x
  2. Step 2: Convert to fraction form
    116,338,296/180,386,535 = 180,386,535/x
  3. Step 3: Cross multiply
    116,338,296x = 180,386,535 × 180,386,535
  4. Step 4: Simplify right side
    116,338,296x = 32,539,302,009,306,224
  5. Step 5: Solve for x
    x = 32,539,302,009,306,224/116,338,296
  6. Step 6: Final answer
    x = 279,695,535.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.