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Finding the Third Proportional to 238,326,688 and 513,173,315

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Solution

The third proportional to 238,326,688 and 513,173,315 is: 1,104,982,633.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,326,688 : 513,173,315 = 513,173,315 : x
  2. Step 2: Convert to fraction form
    238,326,688/513,173,315 = 513,173,315/x
  3. Step 3: Cross multiply
    238,326,688x = 513,173,315 × 513,173,315
  4. Step 4: Simplify right side
    238,326,688x = 263,346,851,228,089,216
  5. Step 5: Solve for x
    x = 263,346,851,228,089,216/238,326,688
  6. Step 6: Final answer
    x = 1,104,982,633.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.