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Finding the Third Proportional to 209,707,504 and 314,561,284

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Solution

The third proportional to 209,707,504 and 314,561,284 is: 471,841,968.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,707,504 : 314,561,284 = 314,561,284 : x
  2. Step 2: Convert to fraction form
    209,707,504/314,561,284 = 314,561,284/x
  3. Step 3: Cross multiply
    209,707,504x = 314,561,284 × 314,561,284
  4. Step 4: Simplify right side
    209,707,504x = 98,948,801,391,728,656
  5. Step 5: Solve for x
    x = 98,948,801,391,728,656/209,707,504
  6. Step 6: Final answer
    x = 471,841,968.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.