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Finding the Third Proportional to 259,803,946.13 and 565,343,853.75

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Solution

The third proportional to 259,803,946.13 and 565,343,853.75 is: 1,230,211,002.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,803,946.13 : 565,343,853.75 = 565,343,853.75 : x
  2. Step 2: Convert to fraction form
    259,803,946.13/565,343,853.75 = 565,343,853.75/x
  3. Step 3: Cross multiply
    259,803,946.13x = 565,343,853.75 × 565,343,853.75
  4. Step 4: Simplify right side
    259,803,946.13x = 319,613,672,972,901,376
  5. Step 5: Solve for x
    x = 319,613,672,972,901,376/259,803,946.13
  6. Step 6: Final answer
    x = 1,230,211,002.33

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