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Finding the Third Proportional to 145,020,195 and 230,011,038

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Solution

The third proportional to 145,020,195 and 230,011,038 is: 364,811,794.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,020,195 : 230,011,038 = 230,011,038 : x
  2. Step 2: Convert to fraction form
    145,020,195/230,011,038 = 230,011,038/x
  3. Step 3: Cross multiply
    145,020,195x = 230,011,038 × 230,011,038
  4. Step 4: Simplify right side
    145,020,195x = 52,905,077,601,837,440
  5. Step 5: Solve for x
    x = 52,905,077,601,837,440/145,020,195
  6. Step 6: Final answer
    x = 364,811,794.67

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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.