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Finding the Third Proportional to 265,712,880.09 and 374,019,235.03

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Solution

The third proportional to 265,712,880.09 and 374,019,235.03 is: 526,471,987.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,712,880.09 : 374,019,235.03 = 374,019,235.03 : x
  2. Step 2: Convert to fraction form
    265,712,880.09/374,019,235.03 = 374,019,235.03/x
  3. Step 3: Cross multiply
    265,712,880.09x = 374,019,235.03 × 374,019,235.03
  4. Step 4: Simplify right side
    265,712,880.09x = 139,890,388,173,361,424
  5. Step 5: Solve for x
    x = 139,890,388,173,361,424/265,712,880.09
  6. Step 6: Final answer
    x = 526,471,987.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.