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Finding the Third Proportional to 102,346,922.81 and 241,606,366.03

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Solution

The third proportional to 102,346,922.81 and 241,606,366.03 is: 570,350,671.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,346,922.81 : 241,606,366.03 = 241,606,366.03 : x
  2. Step 2: Convert to fraction form
    102,346,922.81/241,606,366.03 = 241,606,366.03/x
  3. Step 3: Cross multiply
    102,346,922.81x = 241,606,366.03 × 241,606,366.03
  4. Step 4: Simplify right side
    102,346,922.81x = 58,373,636,106,826,352
  5. Step 5: Solve for x
    x = 58,373,636,106,826,352/102,346,922.81
  6. Step 6: Final answer
    x = 570,350,671.06

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.