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Finding the Third Proportional to 116,498,655 and 180,886,365

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Solution

The third proportional to 116,498,655 and 180,886,365 is: 280,860,556.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,498,655 : 180,886,365 = 180,886,365 : x
  2. Step 2: Convert to fraction form
    116,498,655/180,886,365 = 180,886,365/x
  3. Step 3: Cross multiply
    116,498,655x = 180,886,365 × 180,886,365
  4. Step 4: Simplify right side
    116,498,655x = 32,719,877,042,913,224
  5. Step 5: Solve for x
    x = 32,719,877,042,913,224/116,498,655
  6. Step 6: Final answer
    x = 280,860,556.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.