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Finding the Third Proportional to 104,849,772,768 and 231,071,268,312

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Solution

The third proportional to 104,849,772,768 and 231,071,268,312 is: 509,242,219,889.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,849,772,768 : 231,071,268,312 = 231,071,268,312 : x
  2. Step 2: Convert to fraction form
    104,849,772,768/231,071,268,312 = 231,071,268,312/x
  3. Step 3: Cross multiply
    104,849,772,768x = 231,071,268,312 × 231,071,268,312
  4. Step 4: Simplify right side
    104,849,772,768x = 53,393,931,039,316,297,908,224
  5. Step 5: Solve for x
    x = 53,393,931,039,316,297,908,224/104,849,772,768
  6. Step 6: Final answer
    x = 509,242,219,889.79

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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.