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Finding the Third Proportional to 115,046,441 and 155,485,788

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Solution

The third proportional to 115,046,441 and 155,485,788 is: 210,139,749.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,046,441 : 155,485,788 = 155,485,788 : x
  2. Step 2: Convert to fraction form
    115,046,441/155,485,788 = 155,485,788/x
  3. Step 3: Cross multiply
    115,046,441x = 155,485,788 × 155,485,788
  4. Step 4: Simplify right side
    115,046,441x = 24,175,830,269,980,944
  5. Step 5: Solve for x
    x = 24,175,830,269,980,944/115,046,441
  6. Step 6: Final answer
    x = 210,139,749.30

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.