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Finding the Third Proportional to 123,964,320 and 270,249,192

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Solution

The third proportional to 123,964,320 and 270,249,192 is: 589,158,443.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,964,320 : 270,249,192 = 270,249,192 : x
  2. Step 2: Convert to fraction form
    123,964,320/270,249,192 = 270,249,192/x
  3. Step 3: Cross multiply
    123,964,320x = 270,249,192 × 270,249,192
  4. Step 4: Simplify right side
    123,964,320x = 73,034,625,776,652,864
  5. Step 5: Solve for x
    x = 73,034,625,776,652,864/123,964,320
  6. Step 6: Final answer
    x = 589,158,443.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.