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Finding the Third Proportional to 242,362,076 and 383,833,358

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Solution

The third proportional to 242,362,076 and 383,833,358 is: 607,884,076.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,362,076 : 383,833,358 = 383,833,358 : x
  2. Step 2: Convert to fraction form
    242,362,076/383,833,358 = 383,833,358/x
  3. Step 3: Cross multiply
    242,362,076x = 383,833,358 × 383,833,358
  4. Step 4: Simplify right side
    242,362,076x = 147,328,046,713,556,160
  5. Step 5: Solve for x
    x = 147,328,046,713,556,160/242,362,076
  6. Step 6: Final answer
    x = 607,884,076.36

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.