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Finding the Third Proportional to 53,140,135,186 and 117,111,922,594

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Solution

The third proportional to 53,140,135,186 and 117,111,922,594 is: 258,094,985,375.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,140,135,186 : 117,111,922,594 = 117,111,922,594 : x
  2. Step 2: Convert to fraction form
    53,140,135,186/117,111,922,594 = 117,111,922,594/x
  3. Step 3: Cross multiply
    53,140,135,186x = 117,111,922,594 × 117,111,922,594
  4. Step 4: Simplify right side
    53,140,135,186x = 13,715,202,413,663,048,695,808
  5. Step 5: Solve for x
    x = 13,715,202,413,663,048,695,808/53,140,135,186
  6. Step 6: Final answer
    x = 258,094,985,375.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.