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Finding the Third Proportional to 92,045,309,954 and 215,059,376,618

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Solution

The third proportional to 92,045,309,954 and 215,059,376,618 is: 502,475,742,592.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,045,309,954 : 215,059,376,618 = 215,059,376,618 : x
  2. Step 2: Convert to fraction form
    92,045,309,954/215,059,376,618 = 215,059,376,618/x
  3. Step 3: Cross multiply
    92,045,309,954x = 215,059,376,618 × 215,059,376,618
  4. Step 4: Simplify right side
    92,045,309,954x = 46,250,535,471,322,761,265,152
  5. Step 5: Solve for x
    x = 46,250,535,471,322,761,265,152/92,045,309,954
  6. Step 6: Final answer
    x = 502,475,742,592.82

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.