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Finding the Third Proportional to 184,556,948 and 435,664,316

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Solution

The third proportional to 184,556,948 and 435,664,316 is: 1,028,427,259.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,556,948 : 435,664,316 = 435,664,316 : x
  2. Step 2: Convert to fraction form
    184,556,948/435,664,316 = 435,664,316/x
  3. Step 3: Cross multiply
    184,556,948x = 435,664,316 × 435,664,316
  4. Step 4: Simplify right side
    184,556,948x = 189,803,396,235,747,840
  5. Step 5: Solve for x
    x = 189,803,396,235,747,840/184,556,948
  6. Step 6: Final answer
    x = 1,028,427,259.40

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Why These Related Problems?

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