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Finding the Third Proportional to 103,634,999,953.50 and 159,223,723,482

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Solution

The third proportional to 103,634,999,953.50 and 159,223,723,482 is: 244,629,653,407.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,634,999,953.50 : 159,223,723,482 = 159,223,723,482 : x
  2. Step 2: Convert to fraction form
    103,634,999,953.50/159,223,723,482 = 159,223,723,482/x
  3. Step 3: Cross multiply
    103,634,999,953.50x = 159,223,723,482 × 159,223,723,482
  4. Step 4: Simplify right side
    103,634,999,953.50x = 25,352,194,119,472,399,777,792
  5. Step 5: Solve for x
    x = 25,352,194,119,472,399,777,792/103,634,999,953.50
  6. Step 6: Final answer
    x = 244,629,653,407.13

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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.