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Finding the Third Proportional to 102,692,530.88 and 228,345,645.75

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Solution

The third proportional to 102,692,530.88 and 228,345,645.75 is: 507,746,118.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,692,530.88 : 228,345,645.75 = 228,345,645.75 : x
  2. Step 2: Convert to fraction form
    102,692,530.88/228,345,645.75 = 228,345,645.75/x
  3. Step 3: Cross multiply
    102,692,530.88x = 228,345,645.75 × 228,345,645.75
  4. Step 4: Simplify right side
    102,692,530.88x = 52,141,733,932,984,496
  5. Step 5: Solve for x
    x = 52,141,733,932,984,496/102,692,530.88
  6. Step 6: Final answer
    x = 507,746,118.33

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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.