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Finding the Third Proportional to 233,399,770 and 507,898,292

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Solution

The third proportional to 233,399,770 and 507,898,292 is: 1,105,231,059.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,399,770 : 507,898,292 = 507,898,292 : x
  2. Step 2: Convert to fraction form
    233,399,770/507,898,292 = 507,898,292/x
  3. Step 3: Cross multiply
    233,399,770x = 507,898,292 × 507,898,292
  4. Step 4: Simplify right side
    233,399,770x = 257,960,675,016,517,248
  5. Step 5: Solve for x
    x = 257,960,675,016,517,248/233,399,770
  6. Step 6: Final answer
    x = 1,105,231,059.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.