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Finding the Third Proportional to 161,264,226 and 249,025,312

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Solution

The third proportional to 161,264,226 and 249,025,312 is: 384,546,576.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,264,226 : 249,025,312 = 249,025,312 : x
  2. Step 2: Convert to fraction form
    161,264,226/249,025,312 = 249,025,312/x
  3. Step 3: Cross multiply
    161,264,226x = 249,025,312 × 249,025,312
  4. Step 4: Simplify right side
    161,264,226x = 62,013,606,016,697,344
  5. Step 5: Solve for x
    x = 62,013,606,016,697,344/161,264,226
  6. Step 6: Final answer
    x = 384,546,576.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.