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Finding the Third Proportional to 78,592,889,814.63 and 170,956,067,159.38

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Solution

The third proportional to 78,592,889,814.63 and 170,956,067,159.38 is: 371,865,406,241.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,592,889,814.63 : 170,956,067,159.38 = 170,956,067,159.38 : x
  2. Step 2: Convert to fraction form
    78,592,889,814.63/170,956,067,159.38 = 170,956,067,159.38/x
  3. Step 3: Cross multiply
    78,592,889,814.63x = 170,956,067,159.38 × 170,956,067,159.38
  4. Step 4: Simplify right side
    78,592,889,814.63x = 29,225,976,898,602,447,929,344
  5. Step 5: Solve for x
    x = 29,225,976,898,602,447,929,344/78,592,889,814.63
  6. Step 6: Final answer
    x = 371,865,406,241.42

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.