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Finding the Third Proportional to 195,719,921 and 310,937,066

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Solution

The third proportional to 195,719,921 and 310,937,066 is: 493,980,676.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,719,921 : 310,937,066 = 310,937,066 : x
  2. Step 2: Convert to fraction form
    195,719,921/310,937,066 = 310,937,066/x
  3. Step 3: Cross multiply
    195,719,921x = 310,937,066 × 310,937,066
  4. Step 4: Simplify right side
    195,719,921x = 96,681,859,012,688,352
  5. Step 5: Solve for x
    x = 96,681,859,012,688,352/195,719,921
  6. Step 6: Final answer
    x = 493,980,676.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.