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Finding the Third Proportional to 233,265,528 and 501,148,221.75

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Solution

The third proportional to 233,265,528 and 501,148,221.75 is: 1,076,668,045.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,265,528 : 501,148,221.75 = 501,148,221.75 : x
  2. Step 2: Convert to fraction form
    233,265,528/501,148,221.75 = 501,148,221.75/x
  3. Step 3: Cross multiply
    233,265,528x = 501,148,221.75 × 501,148,221.75
  4. Step 4: Simplify right side
    233,265,528x = 251,149,540,163,187,168
  5. Step 5: Solve for x
    x = 251,149,540,163,187,168/233,265,528
  6. Step 6: Final answer
    x = 1,076,668,045.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.