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Finding the Third Proportional to 45,430,069 and 99,186,050

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Solution

The third proportional to 45,430,069 and 99,186,050 is: 216,549,803.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,430,069 : 99,186,050 = 99,186,050 : x
  2. Step 2: Convert to fraction form
    45,430,069/99,186,050 = 99,186,050/x
  3. Step 3: Cross multiply
    45,430,069x = 99,186,050 × 99,186,050
  4. Step 4: Simplify right side
    45,430,069x = 9,837,872,514,602,500
  5. Step 5: Solve for x
    x = 9,837,872,514,602,500/45,430,069
  6. Step 6: Final answer
    x = 216,549,803.49

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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.