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Finding the Third Proportional to 114,866,345 and 245,878,947

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Solution

The third proportional to 114,866,345 and 245,878,947 is: 526,320,016.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,866,345 : 245,878,947 = 245,878,947 : x
  2. Step 2: Convert to fraction form
    114,866,345/245,878,947 = 245,878,947/x
  3. Step 3: Cross multiply
    114,866,345x = 245,878,947 × 245,878,947
  4. Step 4: Simplify right side
    114,866,345x = 60,456,456,577,828,808
  5. Step 5: Solve for x
    x = 60,456,456,577,828,808/114,866,345
  6. Step 6: Final answer
    x = 526,320,016.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.