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Finding the Third Proportional to 139,552,972,458 and 304,363,564,284

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Solution

The third proportional to 139,552,972,458 and 304,363,564,284 is: 663,813,730,599.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,552,972,458 : 304,363,564,284 = 304,363,564,284 : x
  2. Step 2: Convert to fraction form
    139,552,972,458/304,363,564,284 = 304,363,564,284/x
  3. Step 3: Cross multiply
    139,552,972,458x = 304,363,564,284 × 304,363,564,284
  4. Step 4: Simplify right side
    139,552,972,458x = 92,637,179,263,660,607,930,368
  5. Step 5: Solve for x
    x = 92,637,179,263,660,607,930,368/139,552,972,458
  6. Step 6: Final answer
    x = 663,813,730,599.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.