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Finding the Third Proportional to 229,863,587.63 and 510,745,511.25

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Solution

The third proportional to 229,863,587.63 and 510,745,511.25 is: 1,134,851,239.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,863,587.63 : 510,745,511.25 = 510,745,511.25 : x
  2. Step 2: Convert to fraction form
    229,863,587.63/510,745,511.25 = 510,745,511.25/x
  3. Step 3: Cross multiply
    229,863,587.63x = 510,745,511.25 × 510,745,511.25
  4. Step 4: Simplify right side
    229,863,587.63x = 260,860,977,262,023,872
  5. Step 5: Solve for x
    x = 260,860,977,262,023,872/229,863,587.63
  6. Step 6: Final answer
    x = 1,134,851,239.19

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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.