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Finding the Third Proportional to 259,803,955.75 and 565,343,873.25

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Solution

The third proportional to 259,803,955.75 and 565,343,873.25 is: 1,230,211,041.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,803,955.75 : 565,343,873.25 = 565,343,873.25 : x
  2. Step 2: Convert to fraction form
    259,803,955.75/565,343,873.25 = 565,343,873.25/x
  3. Step 3: Cross multiply
    259,803,955.75x = 565,343,873.25 × 565,343,873.25
  4. Step 4: Simplify right side
    259,803,955.75x = 319,613,695,021,312,064
  5. Step 5: Solve for x
    x = 319,613,695,021,312,064/259,803,955.75
  6. Step 6: Final answer
    x = 1,230,211,041.62

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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.