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Finding the Third Proportional to 103,634,999,946 and 159,223,723,476

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Solution

The third proportional to 103,634,999,946 and 159,223,723,476 is: 244,629,653,406.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,634,999,946 : 159,223,723,476 = 159,223,723,476 : x
  2. Step 2: Convert to fraction form
    103,634,999,946/159,223,723,476 = 159,223,723,476/x
  3. Step 3: Cross multiply
    103,634,999,946x = 159,223,723,476 × 159,223,723,476
  4. Step 4: Simplify right side
    103,634,999,946x = 25,352,194,117,561,713,950,720
  5. Step 5: Solve for x
    x = 25,352,194,117,561,713,950,720/103,634,999,946
  6. Step 6: Final answer
    x = 244,629,653,406.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.