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Finding the Third Proportional to 233,319,168 and 510,556,032

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Solution

The third proportional to 233,319,168 and 510,556,032 is: 1,117,214,089.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,319,168 : 510,556,032 = 510,556,032 : x
  2. Step 2: Convert to fraction form
    233,319,168/510,556,032 = 510,556,032/x
  3. Step 3: Cross multiply
    233,319,168x = 510,556,032 × 510,556,032
  4. Step 4: Simplify right side
    233,319,168x = 260,667,461,811,585,024
  5. Step 5: Solve for x
    x = 260,667,461,811,585,024/233,319,168
  6. Step 6: Final answer
    x = 1,117,214,089.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.