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Finding the Third Proportional to 138,845,442 and 289,183,038

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Solution

The third proportional to 138,845,442 and 289,183,038 is: 602,301,582.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,845,442 : 289,183,038 = 289,183,038 : x
  2. Step 2: Convert to fraction form
    138,845,442/289,183,038 = 289,183,038/x
  3. Step 3: Cross multiply
    138,845,442x = 289,183,038 × 289,183,038
  4. Step 4: Simplify right side
    138,845,442x = 83,626,829,466,909,440
  5. Step 5: Solve for x
    x = 83,626,829,466,909,440/138,845,442
  6. Step 6: Final answer
    x = 602,301,582.70

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.