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Finding the Third Proportional to 196,943,208 and 455,887,875

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Solution

The third proportional to 196,943,208 and 455,887,875 is: 1,055,297,903.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,943,208 : 455,887,875 = 455,887,875 : x
  2. Step 2: Convert to fraction form
    196,943,208/455,887,875 = 455,887,875/x
  3. Step 3: Cross multiply
    196,943,208x = 455,887,875 × 455,887,875
  4. Step 4: Simplify right side
    196,943,208x = 207,833,754,572,015,616
  5. Step 5: Solve for x
    x = 207,833,754,572,015,616/196,943,208
  6. Step 6: Final answer
    x = 1,055,297,903.81

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.