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Finding the Third Proportional to 144,498,735 and 205,985,511

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Solution

The third proportional to 144,498,735 and 205,985,511 is: 293,636,001.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,498,735 : 205,985,511 = 205,985,511 : x
  2. Step 2: Convert to fraction form
    144,498,735/205,985,511 = 205,985,511/x
  3. Step 3: Cross multiply
    144,498,735x = 205,985,511 × 205,985,511
  4. Step 4: Simplify right side
    144,498,735x = 42,430,030,741,931,120
  5. Step 5: Solve for x
    x = 42,430,030,741,931,120/144,498,735
  6. Step 6: Final answer
    x = 293,636,001.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.