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Finding the Third Proportional to 233,265,511 and 501,148,188

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Solution

The third proportional to 233,265,511 and 501,148,188 is: 1,076,667,979.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,265,511 : 501,148,188 = 501,148,188 : x
  2. Step 2: Convert to fraction form
    233,265,511/501,148,188 = 501,148,188/x
  3. Step 3: Cross multiply
    233,265,511x = 501,148,188 × 501,148,188
  4. Step 4: Simplify right side
    233,265,511x = 251,149,506,335,683,328
  5. Step 5: Solve for x
    x = 251,149,506,335,683,328/233,265,511
  6. Step 6: Final answer
    x = 1,076,667,979.16

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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.