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Finding the Third Proportional to 109,175,202 and 240,185,412

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Solution

The third proportional to 109,175,202 and 240,185,412 is: 528,407,835.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,175,202 : 240,185,412 = 240,185,412 : x
  2. Step 2: Convert to fraction form
    109,175,202/240,185,412 = 240,185,412/x
  3. Step 3: Cross multiply
    109,175,202x = 240,185,412 × 240,185,412
  4. Step 4: Simplify right side
    109,175,202x = 57,689,032,137,609,744
  5. Step 5: Solve for x
    x = 57,689,032,137,609,744/109,175,202
  6. Step 6: Final answer
    x = 528,407,835.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.