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Finding the Third Proportional to 191,838,465 and 416,237,958

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Solution

The third proportional to 191,838,465 and 416,237,958 is: 903,124,603.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,838,465 : 416,237,958 = 416,237,958 : x
  2. Step 2: Convert to fraction form
    191,838,465/416,237,958 = 416,237,958/x
  3. Step 3: Cross multiply
    191,838,465x = 416,237,958 × 416,237,958
  4. Step 4: Simplify right side
    191,838,465x = 173,254,037,680,009,760
  5. Step 5: Solve for x
    x = 173,254,037,680,009,760/191,838,465
  6. Step 6: Final answer
    x = 903,124,603.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.