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Finding the Third Proportional to 139,653,244,282 and 306,344,076,020

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Solution

The third proportional to 139,653,244,282 and 306,344,076,020 is: 671,997,943,155.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,653,244,282 : 306,344,076,020 = 306,344,076,020 : x
  2. Step 2: Convert to fraction form
    139,653,244,282/306,344,076,020 = 306,344,076,020/x
  3. Step 3: Cross multiply
    139,653,244,282x = 306,344,076,020 × 306,344,076,020
  4. Step 4: Simplify right side
    139,653,244,282x = 93,846,692,912,547,537,879,040
  5. Step 5: Solve for x
    x = 93,846,692,912,547,537,879,040/139,653,244,282
  6. Step 6: Final answer
    x = 671,997,943,155.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.