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Finding the Third Proportional to 113,870,596,608 and 237,166,193,232

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Solution

The third proportional to 113,870,596,608 and 237,166,193,232 is: 493,962,488,014.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,870,596,608 : 237,166,193,232 = 237,166,193,232 : x
  2. Step 2: Convert to fraction form
    113,870,596,608/237,166,193,232 = 237,166,193,232/x
  3. Step 3: Cross multiply
    113,870,596,608x = 237,166,193,232 × 237,166,193,232
  4. Step 4: Simplify right side
    113,870,596,608x = 56,247,803,212,158,363,238,400
  5. Step 5: Solve for x
    x = 56,247,803,212,158,363,238,400/113,870,596,608
  6. Step 6: Final answer
    x = 493,962,488,014.28

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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.