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Finding the Third Proportional to 95,656,633,587 and 205,509,019,482.01

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Solution

The third proportional to 95,656,633,587 and 205,509,019,482.01 is: 441,516,238,913.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,656,633,587 : 205,509,019,482.01 = 205,509,019,482.01 : x
  2. Step 2: Convert to fraction form
    95,656,633,587/205,509,019,482.01 = 205,509,019,482.01/x
  3. Step 3: Cross multiply
    95,656,633,587x = 205,509,019,482.01 × 205,509,019,482.01
  4. Step 4: Simplify right side
    95,656,633,587x = 42,233,957,088,457,169,829,888
  5. Step 5: Solve for x
    x = 42,233,957,088,457,169,829,888/95,656,633,587
  6. Step 6: Final answer
    x = 441,516,238,913.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.