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Finding the Third Proportional to 185,026,357,239 and 249,644,000,205

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Solution

The third proportional to 185,026,357,239 and 249,644,000,205 is: 336,828,372,823.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,026,357,239 : 249,644,000,205 = 249,644,000,205 : x
  2. Step 2: Convert to fraction form
    185,026,357,239/249,644,000,205 = 249,644,000,205/x
  3. Step 3: Cross multiply
    185,026,357,239x = 249,644,000,205 × 249,644,000,205
  4. Step 4: Simplify right side
    185,026,357,239x = 62,322,126,838,354,040,324,096
  5. Step 5: Solve for x
    x = 62,322,126,838,354,040,324,096/185,026,357,239
  6. Step 6: Final answer
    x = 336,828,372,823.94

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.