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Finding the Third Proportional to 107,998,816 and 237,018,752

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Solution

The third proportional to 107,998,816 and 237,018,752 is: 520,171,339.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,998,816 : 237,018,752 = 237,018,752 : x
  2. Step 2: Convert to fraction form
    107,998,816/237,018,752 = 237,018,752/x
  3. Step 3: Cross multiply
    107,998,816x = 237,018,752 × 237,018,752
  4. Step 4: Simplify right side
    107,998,816x = 56,177,888,799,637,504
  5. Step 5: Solve for x
    x = 56,177,888,799,637,504/107,998,816
  6. Step 6: Final answer
    x = 520,171,339.65

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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.