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Finding the Third Proportional to 209,707,470 and 314,561,232

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Solution

The third proportional to 209,707,470 and 314,561,232 is: 471,841,888.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,707,470 : 314,561,232 = 314,561,232 : x
  2. Step 2: Convert to fraction form
    209,707,470/314,561,232 = 314,561,232/x
  3. Step 3: Cross multiply
    209,707,470x = 314,561,232 × 314,561,232
  4. Step 4: Simplify right side
    209,707,470x = 98,948,768,677,357,824
  5. Step 5: Solve for x
    x = 98,948,768,677,357,824/209,707,470
  6. Step 6: Final answer
    x = 471,841,888.50

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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.