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Finding the Third Proportional to 49,559,316 and 106,292,904

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Solution

The third proportional to 49,559,316 and 106,292,904 is: 227,972,909.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,559,316 : 106,292,904 = 106,292,904 : x
  2. Step 2: Convert to fraction form
    49,559,316/106,292,904 = 106,292,904/x
  3. Step 3: Cross multiply
    49,559,316x = 106,292,904 × 106,292,904
  4. Step 4: Simplify right side
    49,559,316x = 11,298,181,440,753,216
  5. Step 5: Solve for x
    x = 11,298,181,440,753,216/49,559,316
  6. Step 6: Final answer
    x = 227,972,909.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.