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Finding the Third Proportional to 114,681,191,751 and 159,455,030,340

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Solution

The third proportional to 114,681,191,751 and 159,455,030,340 is: 221,709,473,999.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,681,191,751 : 159,455,030,340 = 159,455,030,340 : x
  2. Step 2: Convert to fraction form
    114,681,191,751/159,455,030,340 = 159,455,030,340/x
  3. Step 3: Cross multiply
    114,681,191,751x = 159,455,030,340 × 159,455,030,340
  4. Step 4: Simplify right side
    114,681,191,751x = 25,425,906,700,730,320,814,080
  5. Step 5: Solve for x
    x = 25,425,906,700,730,320,814,080/114,681,191,751
  6. Step 6: Final answer
    x = 221,709,473,999.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.