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Finding the Third Proportional to 243,277,526.25 and 503,801,349.75

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Solution

The third proportional to 243,277,526.25 and 503,801,349.75 is: 1,043,317,909.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,277,526.25 : 503,801,349.75 = 503,801,349.75 : x
  2. Step 2: Convert to fraction form
    243,277,526.25/503,801,349.75 = 503,801,349.75/x
  3. Step 3: Cross multiply
    243,277,526.25x = 503,801,349.75 × 503,801,349.75
  4. Step 4: Simplify right side
    243,277,526.25x = 253,815,800,009,921,824
  5. Step 5: Solve for x
    x = 253,815,800,009,921,824/243,277,526.25
  6. Step 6: Final answer
    x = 1,043,317,909.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.