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Finding the Third Proportional to 259,803,964 and 565,343,890

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Solution

The third proportional to 259,803,964 and 565,343,890 is: 1,230,211,075.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,803,964 : 565,343,890 = 565,343,890 : x
  2. Step 2: Convert to fraction form
    259,803,964/565,343,890 = 565,343,890/x
  3. Step 3: Cross multiply
    259,803,964x = 565,343,890 × 565,343,890
  4. Step 4: Simplify right side
    259,803,964x = 319,613,713,960,332,096
  5. Step 5: Solve for x
    x = 319,613,713,960,332,096/259,803,964
  6. Step 6: Final answer
    x = 1,230,211,075.46

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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.