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Finding the Third Proportional to 209,707,480.50 and 314,561,248.50

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Solution

The third proportional to 209,707,480.50 and 314,561,248.50 is: 471,841,914.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,707,480.50 : 314,561,248.50 = 314,561,248.50 : x
  2. Step 2: Convert to fraction form
    209,707,480.50/314,561,248.50 = 314,561,248.50/x
  3. Step 3: Cross multiply
    209,707,480.50x = 314,561,248.50 × 314,561,248.50
  4. Step 4: Simplify right side
    209,707,480.50x = 98,948,779,057,878,752
  5. Step 5: Solve for x
    x = 98,948,779,057,878,752/209,707,480.50
  6. Step 6: Final answer
    x = 471,841,914.38

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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.