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Finding the Third Proportional to 119,652,412 and 260,269,154

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Solution

The third proportional to 119,652,412 and 260,269,154 is: 566,140,133.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,652,412 : 260,269,154 = 260,269,154 : x
  2. Step 2: Convert to fraction form
    119,652,412/260,269,154 = 260,269,154/x
  3. Step 3: Cross multiply
    119,652,412x = 260,269,154 × 260,269,154
  4. Step 4: Simplify right side
    119,652,412x = 67,740,032,523,875,712
  5. Step 5: Solve for x
    x = 67,740,032,523,875,712/119,652,412
  6. Step 6: Final answer
    x = 566,140,133.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.