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Finding the Third Proportional to 249,914,948,388 and 380,719,602,102

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Solution

The third proportional to 249,914,948,388 and 380,719,602,102 is: 579,986,977,008.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,914,948,388 : 380,719,602,102 = 380,719,602,102 : x
  2. Step 2: Convert to fraction form
    249,914,948,388/380,719,602,102 = 380,719,602,102/x
  3. Step 3: Cross multiply
    249,914,948,388x = 380,719,602,102 × 380,719,602,102
  4. Step 4: Simplify right side
    249,914,948,388x = 144,947,415,424,705,195,147,264
  5. Step 5: Solve for x
    x = 144,947,415,424,705,195,147,264/249,914,948,388
  6. Step 6: Final answer
    x = 579,986,977,008.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.