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Finding the Third Proportional to 52,719,915 and 114,507,536

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Solution

The third proportional to 52,719,915 and 114,507,536 is: 248,710,108.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,719,915 : 114,507,536 = 114,507,536 : x
  2. Step 2: Convert to fraction form
    52,719,915/114,507,536 = 114,507,536/x
  3. Step 3: Cross multiply
    52,719,915x = 114,507,536 × 114,507,536
  4. Step 4: Simplify right side
    52,719,915x = 13,111,975,800,791,296
  5. Step 5: Solve for x
    x = 13,111,975,800,791,296/52,719,915
  6. Step 6: Final answer
    x = 248,710,108.90

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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.