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Finding the Third Proportional to 102,692,532.75 and 228,345,648.75

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Solution

The third proportional to 102,692,532.75 and 228,345,648.75 is: 507,746,122.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,692,532.75 : 228,345,648.75 = 228,345,648.75 : x
  2. Step 2: Convert to fraction form
    102,692,532.75/228,345,648.75 = 228,345,648.75/x
  3. Step 3: Cross multiply
    102,692,532.75x = 228,345,648.75 × 228,345,648.75
  4. Step 4: Simplify right side
    102,692,532.75x = 52,141,735,303,058,376
  5. Step 5: Solve for x
    x = 52,141,735,303,058,376/102,692,532.75
  6. Step 6: Final answer
    x = 507,746,122.40

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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.