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Finding the Third Proportional to 109,583,485.03 and 228,234,682.13

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Solution

The third proportional to 109,583,485.03 and 228,234,682.13 is: 475,355,114.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,583,485.03 : 228,234,682.13 = 228,234,682.13 : x
  2. Step 2: Convert to fraction form
    109,583,485.03/228,234,682.13 = 228,234,682.13/x
  3. Step 3: Cross multiply
    109,583,485.03x = 228,234,682.13 × 228,234,682.13
  4. Step 4: Simplify right side
    109,583,485.03x = 52,091,070,124,699,792
  5. Step 5: Solve for x
    x = 52,091,070,124,699,792/109,583,485.03
  6. Step 6: Final answer
    x = 475,355,114.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.