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Finding the Third Proportional to 190,905,128,669 and 287,154,721,826

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Solution

The third proportional to 190,905,128,669 and 287,154,721,826 is: 431,930,953,567.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,905,128,669 : 287,154,721,826 = 287,154,721,826 : x
  2. Step 2: Convert to fraction form
    190,905,128,669/287,154,721,826 = 287,154,721,826/x
  3. Step 3: Cross multiply
    190,905,128,669x = 287,154,721,826 × 287,154,721,826
  4. Step 4: Simplify right side
    190,905,128,669x = 82,457,834,266,967,442,194,432
  5. Step 5: Solve for x
    x = 82,457,834,266,967,442,194,432/190,905,128,669
  6. Step 6: Final answer
    x = 431,930,953,567.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.