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Finding the Third Proportional to 153,708,556.50 and 334,708,888.50

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Solution

The third proportional to 153,708,556.50 and 334,708,888.50 is: 728,847,128.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,708,556.50 : 334,708,888.50 = 334,708,888.50 : x
  2. Step 2: Convert to fraction form
    153,708,556.50/334,708,888.50 = 334,708,888.50/x
  3. Step 3: Cross multiply
    153,708,556.50x = 334,708,888.50 × 334,708,888.50
  4. Step 4: Simplify right side
    153,708,556.50x = 112,030,040,040,905,440
  5. Step 5: Solve for x
    x = 112,030,040,040,905,440/153,708,556.50
  6. Step 6: Final answer
    x = 728,847,128.57

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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.