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Finding the Third Proportional to 48,514,160 and 106,143,808

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Solution

The third proportional to 48,514,160 and 106,143,808 is: 232,231,331.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,514,160 : 106,143,808 = 106,143,808 : x
  2. Step 2: Convert to fraction form
    48,514,160/106,143,808 = 106,143,808/x
  3. Step 3: Cross multiply
    48,514,160x = 106,143,808 × 106,143,808
  4. Step 4: Simplify right side
    48,514,160x = 11,266,507,976,740,864
  5. Step 5: Solve for x
    x = 11,266,507,976,740,864/48,514,160
  6. Step 6: Final answer
    x = 232,231,331.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.