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Finding the Third Proportional to 104,849,772,770 and 231,071,268,316

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Solution

The third proportional to 104,849,772,770 and 231,071,268,316 is: 509,242,219,897.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,849,772,770 : 231,071,268,316 = 231,071,268,316 : x
  2. Step 2: Convert to fraction form
    104,849,772,770/231,071,268,316 = 231,071,268,316/x
  3. Step 3: Cross multiply
    104,849,772,770x = 231,071,268,316 × 231,071,268,316
  4. Step 4: Simplify right side
    104,849,772,770x = 53,393,931,041,164,861,898,752
  5. Step 5: Solve for x
    x = 53,393,931,041,164,861,898,752/104,849,772,770
  6. Step 6: Final answer
    x = 509,242,219,897.71

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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.