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Finding the Third Proportional to 155,157,336 and 232,308,648

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Solution

The third proportional to 155,157,336 and 232,308,648 is: 347,823,115.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,157,336 : 232,308,648 = 232,308,648 : x
  2. Step 2: Convert to fraction form
    155,157,336/232,308,648 = 232,308,648/x
  3. Step 3: Cross multiply
    155,157,336x = 232,308,648 × 232,308,648
  4. Step 4: Simplify right side
    155,157,336x = 53,967,307,935,587,904
  5. Step 5: Solve for x
    x = 53,967,307,935,587,904/155,157,336
  6. Step 6: Final answer
    x = 347,823,115.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.