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Finding the Third Proportional to 58,116,570 and 122,256,296

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Solution

The third proportional to 58,116,570 and 122,256,296 is: 257,183,139.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,116,570 : 122,256,296 = 122,256,296 : x
  2. Step 2: Convert to fraction form
    58,116,570/122,256,296 = 122,256,296/x
  3. Step 3: Cross multiply
    58,116,570x = 122,256,296 × 122,256,296
  4. Step 4: Simplify right side
    58,116,570x = 14,946,601,911,639,616
  5. Step 5: Solve for x
    x = 14,946,601,911,639,616/58,116,570
  6. Step 6: Final answer
    x = 257,183,139.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.