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Finding the Third Proportional to 140,142,775.50 and 306,678,031.50

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Solution

The third proportional to 140,142,775.50 and 306,678,031.50 is: 671,111,405.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,142,775.50 : 306,678,031.50 = 306,678,031.50 : x
  2. Step 2: Convert to fraction form
    140,142,775.50/306,678,031.50 = 306,678,031.50/x
  3. Step 3: Cross multiply
    140,142,775.50x = 306,678,031.50 × 306,678,031.50
  4. Step 4: Simplify right side
    140,142,775.50x = 94,051,415,004,714,992
  5. Step 5: Solve for x
    x = 94,051,415,004,714,992/140,142,775.50
  6. Step 6: Final answer
    x = 671,111,405.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.