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Finding the Third Proportional to 115,140,556 and 164,652,348

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Solution

The third proportional to 115,140,556 and 164,652,348 is: 235,454,792.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,140,556 : 164,652,348 = 164,652,348 : x
  2. Step 2: Convert to fraction form
    115,140,556/164,652,348 = 164,652,348/x
  3. Step 3: Cross multiply
    115,140,556x = 164,652,348 × 164,652,348
  4. Step 4: Simplify right side
    115,140,556x = 27,110,395,701,913,104
  5. Step 5: Solve for x
    x = 27,110,395,701,913,104/115,140,556
  6. Step 6: Final answer
    x = 235,454,792.33

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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.