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Finding the Third Proportional to 52,297,430.63 and 114,011,344.13

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Solution

The third proportional to 52,297,430.63 and 114,011,344.13 is: 248,551,151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,297,430.63 : 114,011,344.13 = 114,011,344.13 : x
  2. Step 2: Convert to fraction form
    52,297,430.63/114,011,344.13 = 114,011,344.13/x
  3. Step 3: Cross multiply
    52,297,430.63x = 114,011,344.13 × 114,011,344.13
  4. Step 4: Simplify right side
    52,297,430.63x = 12,998,586,589,189,172
  5. Step 5: Solve for x
    x = 12,998,586,589,189,172/52,297,430.63
  6. Step 6: Final answer
    x = 248,551,151.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.