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Finding the Third Proportional to 102,692,533 and 228,345,650

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Solution

The third proportional to 102,692,533 and 228,345,650 is: 507,746,126.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,692,533 : 228,345,650 = 228,345,650 : x
  2. Step 2: Convert to fraction form
    102,692,533/228,345,650 = 228,345,650/x
  3. Step 3: Cross multiply
    102,692,533x = 228,345,650 × 228,345,650
  4. Step 4: Simplify right side
    102,692,533x = 52,141,735,873,922,496
  5. Step 5: Solve for x
    x = 52,141,735,873,922,496/102,692,533
  6. Step 6: Final answer
    x = 507,746,126.72

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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.