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Finding the Third Proportional to 255,045,040 and 545,548,640

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Solution

The third proportional to 255,045,040 and 545,548,640 is: 1,166,944,154.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,045,040 : 545,548,640 = 545,548,640 : x
  2. Step 2: Convert to fraction form
    255,045,040/545,548,640 = 545,548,640/x
  3. Step 3: Cross multiply
    255,045,040x = 545,548,640 × 545,548,640
  4. Step 4: Simplify right side
    255,045,040x = 297,623,318,605,849,600
  5. Step 5: Solve for x
    x = 297,623,318,605,849,600/255,045,040
  6. Step 6: Final answer
    x = 1,166,944,154.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.