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Finding the Third Proportional to 75,465,312,138 and 161,531,707,283.50

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Solution

The third proportional to 75,465,312,138 and 161,531,707,283.50 is: 345,754,780,821.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,465,312,138 : 161,531,707,283.50 = 161,531,707,283.50 : x
  2. Step 2: Convert to fraction form
    75,465,312,138/161,531,707,283.50 = 161,531,707,283.50/x
  3. Step 3: Cross multiply
    75,465,312,138x = 161,531,707,283.50 × 161,531,707,283.50
  4. Step 4: Simplify right side
    75,465,312,138x = 26,092,492,457,922,325,905,408
  5. Step 5: Solve for x
    x = 26,092,492,457,922,325,905,408/75,465,312,138
  6. Step 6: Final answer
    x = 345,754,780,821.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.