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Finding the Third Proportional to 253,223,121 and 548,716,875

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Solution

The third proportional to 253,223,121 and 548,716,875 is: 1,189,031,269.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,223,121 : 548,716,875 = 548,716,875 : x
  2. Step 2: Convert to fraction form
    253,223,121/548,716,875 = 548,716,875/x
  3. Step 3: Cross multiply
    253,223,121x = 548,716,875 × 548,716,875
  4. Step 4: Simplify right side
    253,223,121x = 301,090,208,909,765,632
  5. Step 5: Solve for x
    x = 301,090,208,909,765,632/253,223,121
  6. Step 6: Final answer
    x = 1,189,031,269.03

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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.