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Finding the Third Proportional to 185,026,357,183 and 249,644,000,122

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Solution

The third proportional to 185,026,357,183 and 249,644,000,122 is: 336,828,372,701.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,026,357,183 : 249,644,000,122 = 249,644,000,122 : x
  2. Step 2: Convert to fraction form
    185,026,357,183/249,644,000,122 = 249,644,000,122/x
  3. Step 3: Cross multiply
    185,026,357,183x = 249,644,000,122 × 249,644,000,122
  4. Step 4: Simplify right side
    185,026,357,183x = 62,322,126,796,913,134,010,368
  5. Step 5: Solve for x
    x = 62,322,126,796,913,134,010,368/185,026,357,183
  6. Step 6: Final answer
    x = 336,828,372,701.92

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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.