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Finding the Third Proportional to 142,034,046 and 305,640,654

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Solution

The third proportional to 142,034,046 and 305,640,654 is: 657,702,938.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,034,046 : 305,640,654 = 305,640,654 : x
  2. Step 2: Convert to fraction form
    142,034,046/305,640,654 = 305,640,654/x
  3. Step 3: Cross multiply
    142,034,046x = 305,640,654 × 305,640,654
  4. Step 4: Simplify right side
    142,034,046x = 93,416,209,377,547,712
  5. Step 5: Solve for x
    x = 93,416,209,377,547,712/142,034,046
  6. Step 6: Final answer
    x = 657,702,938.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.