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Finding the Third Proportional to 57,526,803 and 123,130,401.75

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Solution

The third proportional to 57,526,803 and 123,130,401.75 is: 263,548,381.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,526,803 : 123,130,401.75 = 123,130,401.75 : x
  2. Step 2: Convert to fraction form
    57,526,803/123,130,401.75 = 123,130,401.75/x
  3. Step 3: Cross multiply
    57,526,803x = 123,130,401.75 × 123,130,401.75
  4. Step 4: Simplify right side
    57,526,803x = 15,161,095,835,116,404
  5. Step 5: Solve for x
    x = 15,161,095,835,116,404/57,526,803
  6. Step 6: Final answer
    x = 263,548,381.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.