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Finding the Third Proportional to 46,161,816 and 99,983,804

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Solution

The third proportional to 46,161,816 and 99,983,804 is: 216,559,094.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,161,816 : 99,983,804 = 99,983,804 : x
  2. Step 2: Convert to fraction form
    46,161,816/99,983,804 = 99,983,804/x
  3. Step 3: Cross multiply
    46,161,816x = 99,983,804 × 99,983,804
  4. Step 4: Simplify right side
    46,161,816x = 9,996,761,062,310,416
  5. Step 5: Solve for x
    x = 9,996,761,062,310,416/46,161,816
  6. Step 6: Final answer
    x = 216,559,094.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.