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Finding the Third Proportional to 229,863,588 and 510,745,513.50

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Solution

The third proportional to 229,863,588 and 510,745,513.50 is: 1,134,851,247.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,863,588 : 510,745,513.50 = 510,745,513.50 : x
  2. Step 2: Convert to fraction form
    229,863,588/510,745,513.50 = 510,745,513.50/x
  3. Step 3: Cross multiply
    229,863,588x = 510,745,513.50 × 510,745,513.50
  4. Step 4: Simplify right side
    229,863,588x = 260,860,979,560,378,688
  5. Step 5: Solve for x
    x = 260,860,979,560,378,688/229,863,588
  6. Step 6: Final answer
    x = 1,134,851,247.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.