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Finding the Third Proportional to 200,352,228.75 and 302,105,020.50

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Solution

The third proportional to 200,352,228.75 and 302,105,020.50 is: 455,534,954.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,352,228.75 : 302,105,020.50 = 302,105,020.50 : x
  2. Step 2: Convert to fraction form
    200,352,228.75/302,105,020.50 = 302,105,020.50/x
  3. Step 3: Cross multiply
    200,352,228.75x = 302,105,020.50 × 302,105,020.50
  4. Step 4: Simplify right side
    200,352,228.75x = 91,267,443,411,305,424
  5. Step 5: Solve for x
    x = 91,267,443,411,305,424/200,352,228.75
  6. Step 6: Final answer
    x = 455,534,954.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.