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Finding the Third Proportional to 259,803,882 and 565,343,725.50

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Solution

The third proportional to 259,803,882 and 565,343,725.50 is: 1,230,210,747.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,803,882 : 565,343,725.50 = 565,343,725.50 : x
  2. Step 2: Convert to fraction form
    259,803,882/565,343,725.50 = 565,343,725.50/x
  3. Step 3: Cross multiply
    259,803,882x = 565,343,725.50 × 565,343,725.50
  4. Step 4: Simplify right side
    259,803,882x = 319,613,527,962,219,328
  5. Step 5: Solve for x
    x = 319,613,527,962,219,328/259,803,882
  6. Step 6: Final answer
    x = 1,230,210,747.82

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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.