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Finding the Third Proportional to 270,354,525.19 and 555,041,347.31

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Solution

The third proportional to 270,354,525.19 and 555,041,347.31 is: 1,139,507,086.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,354,525.19 : 555,041,347.31 = 555,041,347.31 : x
  2. Step 2: Convert to fraction form
    270,354,525.19/555,041,347.31 = 555,041,347.31/x
  3. Step 3: Cross multiply
    270,354,525.19x = 555,041,347.31 × 555,041,347.31
  4. Step 4: Simplify right side
    270,354,525.19x = 308,070,897,226,475,264
  5. Step 5: Solve for x
    x = 308,070,897,226,475,264/270,354,525.19
  6. Step 6: Final answer
    x = 1,139,507,086.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.